AP Precalculus Flashcards: Change In Linear And Exponential Functions

Study Change In Linear And Exponential Functions in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

AP Precalculus

Change In Linear And Exponential Functions

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QUESTION

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What is the effect of a zero slope in a linear function?

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ANSWER

Horizontal line. Zero slope creates constant function value.

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What this deck covers

This deck focuses on Change In Linear And Exponential Functions, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

All flashcards

Flashcard 1: What is the effect of a zero slope in a linear function?

Answer: Horizontal line. Zero slope creates constant function value.

Flashcard 2: If $f(x) = 6x - 9$ , what is $f(2)$ ?

Answer:

Substitute $x = 2$ : $f(2) = 6(2) - 9 = 3$ .

Flashcard 3: Find the slope of the line passing through points $(1, 2)$ and $(3, 6)$ .

Answer:

Slope = $\frac{6-2}{3-1} = \frac{4}{2} = 2$ .

Flashcard 4: What is the base in the exponential function $f(x) = 3 \times (0.5)^x$ ?

Answer: 0.5. The number being raised to the power.

Flashcard 5: Determine the type: $f(x) = 4 \times 1.5^x$ .

Answer: Exponential function. Form $a \times b^x$ identifies exponential function.

Flashcard 6: Which function type has a constant rate of change?

Answer: Linear function. Linear functions have constant slope.

Flashcard 7: Find the slope of the line passing through points $(1, 2)$ and $(3, 6)$ .

Answer:

Slope = $\frac{6-2}{3-1} = \frac{4}{2} = 2$ .

Flashcard 8: What is the impact of a negative slope in a linear function?

Answer: Decreasing function. Negative slope means function decreases as $x$ increases.

Flashcard 9: State the initial value in $f(x) = 4 \times 2^x$ .

Answer:

The coefficient multiplying the exponential term.

Flashcard 10: Which function type has a constant ratio between outputs?

Answer: Exponential function. Exponential functions have constant multiplicative rate.

Flashcard 11: Find $f(x)$ if $f(x) = 2 \times 3^x$ and $x = 2$ .

Answer:

Substitute $x = 2$ : $f(2) = 2 \times 3^2 = 18$ .

Flashcard 12: What is the formula for an exponential function?

Answer: $f(x) = a \times b^x$ . Where $a$ is initial value and $b$ is the base.

Flashcard 13: Identify the linear function: $f(x) = 2x - 5$ or $f(x) = 3^x$ ?

Answer: $f(x) = 2x - 5$ . Form $mx + b$ indicates linear function.

Flashcard 14: Find the y-intercept of $f(x) = -3x + 12$ .

Answer: $12$ . Y-intercept occurs when $x = 0$ .

Flashcard 15: Identify the y-intercept in the linear function $f(x) = -2x + 5$ .

Answer:

The constant term is the y-intercept.

Flashcard 16: What does a negative exponent in an exponential function represent?

Answer: Reciprocal growth. Negative exponent means division by positive power.

Flashcard 17: Find the rate of change for $f(x) = 5x + 3$ .

Answer: $5$ . The coefficient of $x$ is the rate of change.

Flashcard 18: What is the rate of change in $f(x) = x + 4$ ?

Answer:

The slope is the coefficient of $x$ .

Flashcard 19: Describe the graph of $f(x) = b^x$ when $0 < b < 1$ .

Answer: Decaying exponential. Base less than 1 creates decreasing exponential.

Flashcard 20: What is the general form of a linear function?

Answer: $f(x) = mx + b$ . Standard form with slope $m$ and y-intercept $b$ .

Flashcard 21: What is the effect of doubling the coefficient in a linear function?

Answer: Steeper slope. Larger coefficient creates steeper line.

Flashcard 22: Describe the graph of $f(x) = b^x$ when $b > 1$ .

Answer: Growing exponential. Base greater than 1 creates increasing exponential.

Flashcard 23: If $f(x) = 4 \times 2^x$ , what is $f(3)$ ?

Answer:

Substitute $x = 3$ : $f(3) = 4 \times 2^3 = 32$ .

Flashcard 24: Find the initial value of $f(x) = 10 \times 0.9^x$ .

Answer:

The coefficient multiplying the exponential term.

Flashcard 25: What is the effect of doubling the base in an exponential function?

Answer: Increases the growth rate. Larger base means faster exponential growth.

Flashcard 26: What is the impact of a negative slope in a linear function?

Answer: Decreasing function. Negative slope means function decreases as $x$ increases.

Flashcard 27: Calculate $f(0)$ for $f(x) = 5x - 7$ .

Answer: -7. At $x = 0$ : $f(0) = 5(0) - 7 = -7$ .

Flashcard 28: What is the common ratio in $f(x) = 7 \times 3^x$ ?

Answer:

The base of the exponential term.

Flashcard 29: If $f(x) = 6x - 9$ , what is $f(2)$ ?

Answer:

Substitute $x = 2$ : $f(2) = 6(2) - 9 = 3$ .

Flashcard 30: Find the y-intercept of $f(x) = -3x + 12$ .

Answer:

Y-intercept occurs when $x = 0$ .

Flashcard 31: Identify the linear function: $f(x) = 2x - 5$ or $f(x) = 3^x$ ?

Answer: $f(x) = 2x - 5$ . Form $mx + b$ indicates linear function.

Flashcard 32: Describe the graph of $f(x) = b^x$ when $b > 1$ .

Answer: Growing exponential. Base greater than 1 creates increasing exponential.

Flashcard 33: Identify the growth factor in $f(x) = 2 \times 1.1^x$ .

Answer: 1.1. The base represents growth when greater than 1.

Flashcard 34: State the decay factor in $f(x) = 5 \times 0.8^x$ .

Answer: 0.8. The base represents decay when between 0 and 1.

Flashcard 35: Find $f(0)$ for $f(x) = 9 \times 2^x$ .

Answer:

At $x = 0$ : $f(0) = 9 \times 2^0 = 9$ .

Flashcard 36: State the initial value in $f(x) = 4 \times 2^x$ .

Answer:

The coefficient multiplying the exponential term.

Flashcard 37: Identify the y-intercept in the linear function $f(x) = -2x + 5$ .

Answer:

The constant term is the y-intercept.

Flashcard 38: Identify the slope in the linear function $f(x) = 3x + 7$ .

Answer: $3$ . The coefficient of $x$ is the slope.

Flashcard 39: If $f(x) = 4 \times 2^x$ , what is $f(3)$ ?

Answer:

Substitute $x = 3$ : $f(3) = 4 \times 2^3 = 32$ .

Flashcard 40: What is the effect of doubling the coefficient in a linear function?

Answer: Steeper slope. Larger coefficient creates steeper line.

Flashcard 41: Find $f(4)$ for $f(x) = 7 \times 2^x$ .

Answer:

Substitute $x = 4$ : $f(4) = 7 \times 2^4 = 112$ .

Flashcard 42: What does the y-intercept represent in a linear function?

Answer: Initial value. Y-intercept is the starting value when $x = 0$ .

Flashcard 43: Find the rate of change for $f(x) = 5x + 3$ .

Answer:

The coefficient of $x$ is the rate of change.

Flashcard 44: What is the effect of a zero slope in a linear function?

Answer: Horizontal line. Zero slope creates constant function value.

Flashcard 45: Identify the exponential function: $f(x) = 5x$ or $f(x) = 2 \times 3^x$ ?

Answer: $f(x) = 2 \times 3^x$ . Form $a \times b^x$ indicates exponential function.

Flashcard 46: What is the formula for an exponential function?

Answer: $f(x) = a \times b^x$ . Where $a$ is initial value and $b$ is the base.

Flashcard 47: What happens when the exponent in an exponential function is negative?

Answer: Function decreases. Negative exponent creates reciprocal, decreasing function.

Flashcard 48: Find $f(0)$ for $f(x) = 9 \times 2^x$ .

Answer:

At $x = 0$ : $f(0) = 9 \times 2^0 = 9$ .

Flashcard 49: Determine the type: $f(x) = 0.5x - 2$ .

Answer: Linear function. Form $mx + b$ identifies linear function.

Flashcard 50: Determine the type: $f(x) = 4 \times 1.5^x$ .

Answer: Exponential function. Form $a \times b^x$ identifies exponential function.

Flashcard 51: What is the y-intercept of $f(x) = 6x - 8$ ?

Answer: -8. The constant term when $x = 0$ .

Flashcard 52: Find the initial value of $f(x) = 10 \times 0.9^x$ .

Answer:

The coefficient multiplying the exponential term.

Flashcard 53: What does the y-intercept represent in a linear function?

Answer: Initial value. Y-intercept is the starting value when $x = 0$ .

Flashcard 54: Calculate $f(0)$ for $f(x) = 5x - 7$ .

Answer: -7. At $x = 0$ : $f(0) = 5(0) - 7 = -7$ .

Flashcard 55: Identify the growth factor in $f(x) = 2 \times 1.1^x$ .

Answer: 1.1. The base represents growth when greater than 1.

Flashcard 56: What does the slope represent in a linear function?

Answer: Rate of change. Slope shows how much $y$ changes per unit of $x$ .

Flashcard 57: State the decay factor in $f(x) = 5 \times 0.8^x$ .

Answer: 0.8. The base represents decay when between 0 and 1.

Flashcard 58: Calculate $f(1)$ for $f(x) = 3 \times (0.5)^x$ .

Answer: 1.5. At $x = 1$ : $f(1) = 3 \times (0.5)^1 = 1.5$ .

Flashcard 59: Describe the graph of $f(x) = b^x$ when $0 < b < 1$ .

Answer: Decaying exponential. Base less than 1 creates decreasing exponential.

Flashcard 60: What is the common ratio in $f(x) = 7 \times 3^x$ ?

Answer:

The base of the exponential term.

Flashcard 61: Find $f(x)$ if $f(x) = 2 \times 3^x$ and $x = 2$ .

Answer:

Substitute $x = 2$ : $f(2) = 2 \times 3^2 = 18$ .

Flashcard 62: Which function type has a constant ratio between outputs?

Answer: Exponential function. Exponential functions have constant multiplicative rate.

Flashcard 63: Identify the exponential function: $f(x) = 5x$ or $f(x) = 2 \times 3^x$ ?

Answer: $f(x) = 2 \times 3^x$ . Form $a \times b^x$ indicates exponential function.

Flashcard 64: Which function type has a constant rate of change?

Answer: Linear function. Linear functions have constant slope.

Flashcard 65: What is the general form of a linear function?

Answer: $f(x) = mx + b$ . Standard form with slope $m$ and y-intercept $b$ .

Flashcard 66: What happens when the exponent in an exponential function is negative?

Answer: Function decreases. Negative exponent creates reciprocal, decreasing function.

Flashcard 67: Identify the slope in the linear function $f(x) = 3x + 7$ .

Answer:

The coefficient of $x$ is the slope.

Flashcard 68: What is the y-intercept of $f(x) = 6x - 8$ ?

Answer: -8. The constant term when $x = 0$ .

Flashcard 69: Find $f(4)$ for $f(x) = 7 \times 2^x$ .

Answer:

Substitute $x = 4$ : $f(4) = 7 \times 2^4 = 112$ .

Flashcard 70: Determine the type: $f(x) = 0.5x - 2$ .

Answer: Linear function. Form $mx + b$ identifies linear function.

Flashcard 71: What is the base in the exponential function $f(x) = 3 \times (0.5)^x$ ?

Answer: 0.5. The number being raised to the power.

Flashcard 72: What is the effect of doubling the base in an exponential function?

Answer: Increases the growth rate. Larger base means faster exponential growth.

Flashcard 73: What does the slope represent in a linear function?

Answer: Rate of change. Slope shows how much $y$ changes per unit of $x$ .

Flashcard 74: What is the rate of change in $f(x) = x + 4$ ?

Answer:

The slope is the coefficient of $x$ .

Flashcard 75: Calculate $f(1)$ for $f(x) = 3 \times (0.5)^x$ .

Answer: 1.5. At $x = 1$ : $f(1) = 3 \times (0.5)^1 = 1.5$ .

Flashcard 76: What does a negative exponent in an exponential function represent?

Answer: Reciprocal growth. Negative exponent means division by positive power.

AP Precalculus Flashcards: Change In Linear And Exponential Functions

Change In Linear And Exponential Functions

What this deck covers

How to use these flashcards

All flashcards

Flashcard 1: What is the effect of a zero slope in a linear function?

Flashcard 2: If f(x)=6x−9f(x) = 6x - 9f(x)=6x−9, what is f(2)f(2)f(2)?

Flashcard 3: Find the slope of the line passing through points (1,2)(1, 2)(1,2) and (3,6)(3, 6)(3,6).

Flashcard 4: What is the base in the exponential function f(x)=3×(0.5)xf(x) = 3 \times (0.5)^xf(x)=3×(0.5)x?

Flashcard 5: Determine the type: f(x)=4×1.5xf(x) = 4 \times 1.5^xf(x)=4×1.5x.

Flashcard 6: Which function type has a constant rate of change?

Flashcard 7: Find the slope of the line passing through points (1,2)(1, 2)(1,2) and (3,6)(3, 6)(3,6).

Flashcard 8: What is the impact of a negative slope in a linear function?

Flashcard 9: State the initial value in f(x)=4×2xf(x) = 4 \times 2^xf(x)=4×2x.

Flashcard 10: Which function type has a constant ratio between outputs?

Flashcard 11: Find f(x)f(x)f(x) if f(x)=2×3xf(x) = 2 \times 3^xf(x)=2×3x and x=2x = 2x=2.

Flashcard 12: What is the formula for an exponential function?

Flashcard 13: Identify the linear function: f(x)=2x−5f(x) = 2x - 5f(x)=2x−5 or f(x)=3xf(x) = 3^xf(x)=3x?

Flashcard 14: Find the y-intercept of f(x)=−3x+12f(x) = -3x + 12f(x)=−3x+12.

Flashcard 15: Identify the y-intercept in the linear function f(x)=−2x+5f(x) = -2x + 5f(x)=−2x+5.

Flashcard 16: What does a negative exponent in an exponential function represent?

Flashcard 17: Find the rate of change for f(x)=5x+3f(x) = 5x + 3f(x)=5x+3.

Flashcard 18: What is the rate of change in f(x)=x+4f(x) = x + 4f(x)=x+4?

Flashcard 19: Describe the graph of f(x)=bxf(x) = b^xf(x)=bx when 0<b<10 < b < 10<b<1.

Flashcard 20: What is the general form of a linear function?

Flashcard 21: What is the effect of doubling the coefficient in a linear function?

Flashcard 22: Describe the graph of f(x)=bxf(x) = b^xf(x)=bx when b>1b > 1b>1.

Flashcard 23: If f(x)=4×2xf(x) = 4 \times 2^xf(x)=4×2x, what is f(3)f(3)f(3)?

Flashcard 24: Find the initial value of f(x)=10×0.9xf(x) = 10 \times 0.9^xf(x)=10×0.9x.

Flashcard 25: What is the effect of doubling the base in an exponential function?

Flashcard 26: What is the impact of a negative slope in a linear function?

Flashcard 27: Calculate f(0)f(0)f(0) for f(x)=5x−7f(x) = 5x - 7f(x)=5x−7.

Flashcard 28: What is the common ratio in f(x)=7×3xf(x) = 7 \times 3^xf(x)=7×3x?

Flashcard 29: If f(x)=6x−9f(x) = 6x - 9f(x)=6x−9, what is f(2)f(2)f(2)?

Flashcard 30: Find the y-intercept of f(x)=−3x+12f(x) = -3x + 12f(x)=−3x+12.

Flashcard 31: Identify the linear function: f(x)=2x−5f(x) = 2x - 5f(x)=2x−5 or f(x)=3xf(x) = 3^xf(x)=3x?

Flashcard 32: Describe the graph of f(x)=bxf(x) = b^xf(x)=bx when b>1b > 1b>1.

Flashcard 33: Identify the growth factor in f(x)=2×1.1xf(x) = 2 \times 1.1^xf(x)=2×1.1x.

Flashcard 34: State the decay factor in f(x)=5×0.8xf(x) = 5 \times 0.8^xf(x)=5×0.8x.

Flashcard 35: Find f(0)f(0)f(0) for f(x)=9×2xf(x) = 9 \times 2^xf(x)=9×2x.

Flashcard 36: State the initial value in f(x)=4×2xf(x) = 4 \times 2^xf(x)=4×2x.

Flashcard 37: Identify the y-intercept in the linear function f(x)=−2x+5f(x) = -2x + 5f(x)=−2x+5.

Flashcard 38: Identify the slope in the linear function f(x)=3x+7f(x) = 3x + 7f(x)=3x+7.

Flashcard 39: If f(x)=4×2xf(x) = 4 \times 2^xf(x)=4×2x, what is f(3)f(3)f(3)?

Flashcard 40: What is the effect of doubling the coefficient in a linear function?

Flashcard 41: Find f(4)f(4)f(4) for f(x)=7×2xf(x) = 7 \times 2^xf(x)=7×2x.

Flashcard 42: What does the y-intercept represent in a linear function?

Flashcard 43: Find the rate of change for f(x)=5x+3f(x) = 5x + 3f(x)=5x+3.

Flashcard 44: What is the effect of a zero slope in a linear function?

Flashcard 45: Identify the exponential function: f(x)=5xf(x) = 5xf(x)=5x or f(x)=2×3xf(x) = 2 \times 3^xf(x)=2×3x?

Flashcard 46: What is the formula for an exponential function?

Flashcard 47: What happens when the exponent in an exponential function is negative?

Flashcard 48: Find f(0)f(0)f(0) for f(x)=9×2xf(x) = 9 \times 2^xf(x)=9×2x.

Flashcard 49: Determine the type: f(x)=0.5x−2f(x) = 0.5x - 2f(x)=0.5x−2.

Flashcard 50: Determine the type: f(x)=4×1.5xf(x) = 4 \times 1.5^xf(x)=4×1.5x.

Flashcard 51: What is the y-intercept of f(x)=6x−8f(x) = 6x - 8f(x)=6x−8?

Flashcard 52: Find the initial value of f(x)=10×0.9xf(x) = 10 \times 0.9^xf(x)=10×0.9x.

Flashcard 53: What does the y-intercept represent in a linear function?

Flashcard 54: Calculate f(0)f(0)f(0) for f(x)=5x−7f(x) = 5x - 7f(x)=5x−7.

Flashcard 55: Identify the growth factor in f(x)=2×1.1xf(x) = 2 \times 1.1^xf(x)=2×1.1x.

Flashcard 56: What does the slope represent in a linear function?

Flashcard 57: State the decay factor in f(x)=5×0.8xf(x) = 5 \times 0.8^xf(x)=5×0.8x.

Flashcard 58: Calculate f(1)f(1)f(1) for f(x)=3×(0.5)xf(x) = 3 \times (0.5)^xf(x)=3×(0.5)x.

Flashcard 59: Describe the graph of f(x)=bxf(x) = b^xf(x)=bx when 0<b<10 < b < 10<b<1.

Flashcard 60: What is the common ratio in f(x)=7×3xf(x) = 7 \times 3^xf(x)=7×3x?

Flashcard 61: Find f(x)f(x)f(x) if f(x)=2×3xf(x) = 2 \times 3^xf(x)=2×3x and x=2x = 2x=2.

Flashcard 62: Which function type has a constant ratio between outputs?

Flashcard 63: Identify the exponential function: f(x)=5xf(x) = 5xf(x)=5x or f(x)=2×3xf(x) = 2 \times 3^xf(x)=2×3x?

Flashcard 64: Which function type has a constant rate of change?

Flashcard 65: What is the general form of a linear function?

Flashcard 66: What happens when the exponent in an exponential function is negative?

Flashcard 67: Identify the slope in the linear function f(x)=3x+7f(x) = 3x + 7f(x)=3x+7.

Flashcard 68: What is the y-intercept of f(x)=6x−8f(x) = 6x - 8f(x)=6x−8?

Flashcard 69: Find f(4)f(4)f(4) for f(x)=7×2xf(x) = 7 \times 2^xf(x)=7×2x.

Flashcard 70: Determine the type: f(x)=0.5x−2f(x) = 0.5x - 2f(x)=0.5x−2.

Flashcard 71: What is the base in the exponential function f(x)=3×(0.5)xf(x) = 3 \times (0.5)^xf(x)=3×(0.5)x?

Flashcard 72: What is the effect of doubling the base in an exponential function?

Flashcard 73: What does the slope represent in a linear function?

Flashcard 74: What is the rate of change in f(x)=x+4f(x) = x + 4f(x)=x+4?

Flashcard 75: Calculate f(1)f(1)f(1) for f(x)=3×(0.5)xf(x) = 3 \times (0.5)^xf(x)=3×(0.5)x.

Flashcard 2: If $f(x) = 6x - 9$ , what is $f(2)$ ?

Flashcard 3: Find the slope of the line passing through points $(1, 2)$ and $(3, 6)$ .

Flashcard 4: What is the base in the exponential function $f(x) = 3 \times (0.5)^x$ ?

Flashcard 5: Determine the type: $f(x) = 4 \times 1.5^x$ .

Flashcard 7: Find the slope of the line passing through points $(1, 2)$ and $(3, 6)$ .

Flashcard 9: State the initial value in $f(x) = 4 \times 2^x$ .

Flashcard 11: Find $f(x)$ if $f(x) = 2 \times 3^x$ and $x = 2$ .

Flashcard 13: Identify the linear function: $f(x) = 2x - 5$ or $f(x) = 3^x$ ?

Flashcard 14: Find the y-intercept of $f(x) = -3x + 12$ .

Flashcard 15: Identify the y-intercept in the linear function $f(x) = -2x + 5$ .

Flashcard 17: Find the rate of change for $f(x) = 5x + 3$ .

Flashcard 18: What is the rate of change in $f(x) = x + 4$ ?

Flashcard 19: Describe the graph of $f(x) = b^x$ when $0 < b < 1$ .

Flashcard 22: Describe the graph of $f(x) = b^x$ when $b > 1$ .

Flashcard 23: If $f(x) = 4 \times 2^x$ , what is $f(3)$ ?

Flashcard 24: Find the initial value of $f(x) = 10 \times 0.9^x$ .

Flashcard 27: Calculate $f(0)$ for $f(x) = 5x - 7$ .

Flashcard 28: What is the common ratio in $f(x) = 7 \times 3^x$ ?

Flashcard 29: If $f(x) = 6x - 9$ , what is $f(2)$ ?

Flashcard 30: Find the y-intercept of $f(x) = -3x + 12$ .

Flashcard 31: Identify the linear function: $f(x) = 2x - 5$ or $f(x) = 3^x$ ?

Flashcard 32: Describe the graph of $f(x) = b^x$ when $b > 1$ .

Flashcard 33: Identify the growth factor in $f(x) = 2 \times 1.1^x$ .

Flashcard 34: State the decay factor in $f(x) = 5 \times 0.8^x$ .

Flashcard 35: Find $f(0)$ for $f(x) = 9 \times 2^x$ .

Flashcard 36: State the initial value in $f(x) = 4 \times 2^x$ .

Flashcard 37: Identify the y-intercept in the linear function $f(x) = -2x + 5$ .

Flashcard 38: Identify the slope in the linear function $f(x) = 3x + 7$ .

Flashcard 39: If $f(x) = 4 \times 2^x$ , what is $f(3)$ ?

Flashcard 41: Find $f(4)$ for $f(x) = 7 \times 2^x$ .

Flashcard 43: Find the rate of change for $f(x) = 5x + 3$ .

Flashcard 45: Identify the exponential function: $f(x) = 5x$ or $f(x) = 2 \times 3^x$ ?

Flashcard 48: Find $f(0)$ for $f(x) = 9 \times 2^x$ .

Flashcard 49: Determine the type: $f(x) = 0.5x - 2$ .

Flashcard 50: Determine the type: $f(x) = 4 \times 1.5^x$ .

Flashcard 51: What is the y-intercept of $f(x) = 6x - 8$ ?

Flashcard 52: Find the initial value of $f(x) = 10 \times 0.9^x$ .

Flashcard 54: Calculate $f(0)$ for $f(x) = 5x - 7$ .

Flashcard 55: Identify the growth factor in $f(x) = 2 \times 1.1^x$ .

Flashcard 57: State the decay factor in $f(x) = 5 \times 0.8^x$ .

Flashcard 58: Calculate $f(1)$ for $f(x) = 3 \times (0.5)^x$ .

Flashcard 59: Describe the graph of $f(x) = b^x$ when $0 < b < 1$ .

Flashcard 60: What is the common ratio in $f(x) = 7 \times 3^x$ ?

Flashcard 61: Find $f(x)$ if $f(x) = 2 \times 3^x$ and $x = 2$ .

Flashcard 63: Identify the exponential function: $f(x) = 5x$ or $f(x) = 2 \times 3^x$ ?

Flashcard 67: Identify the slope in the linear function $f(x) = 3x + 7$ .

Flashcard 68: What is the y-intercept of $f(x) = 6x - 8$ ?

Flashcard 69: Find $f(4)$ for $f(x) = 7 \times 2^x$ .

Flashcard 70: Determine the type: $f(x) = 0.5x - 2$ .

Flashcard 71: What is the base in the exponential function $f(x) = 3 \times (0.5)^x$ ?

Flashcard 74: What is the rate of change in $f(x) = x + 4$ ?

Flashcard 75: Calculate $f(1)$ for $f(x) = 3 \times (0.5)^x$ .