GRE Math : Graphing

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Example Questions

Example Question #221 : Advanced Geometry

Suppose c>0 .

To obtain the graph of y = f(x) + c , shift the graph a distance of units .

Possible Answers:

To the right

Up and right

Upwards

To the left

Downwards

Correct answer:

Upwards

Explanation:

There are four shifts of the graph y = f(x):

y = f(x) + c shifts the graph c units upwards.

y = f(x) – c shifts the graph c units downwards.

y = f(x + c) shifts the graph c units to the left.

y = f(x – c) shifts the graph c units to the right.

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Example Question #1 : Graphing

Which of the following terms are linear?

Possible Answers:

all of these terms are linear

sin(x)

x²

Correct answer:

Explanation:

Linear terms have only one variable in a product and no exponents other than 0 or 1. x² has an exponent other than 0 or 1 so it is not linear. yz has two variables so is also not a linear term. Linear terms cannot have functions of variables either, so sin(x) is not linear.

We can also think of these terms somewhat like graphing equations. Linear equations are straight lines. You might recognize, for example, that x² should be a parabola. Sin(x) has a graph that looks like a harmonic wave. Clearly these two shaps aren't straight lines!

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Example Question #2 : Graphing

The slope of a line segment with points (2,4) and (7,9) is:

Possible Answers:

$\frac{1}{5}$

Correct answer:

Explanation:

The formula for calculating slope is rise over run, or the difference in divided by the difference in . In this case, the difference in is 5 while the difference in is 5, resulting in a slope of $\frac{5}{5}$ or 1.

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Example Question #1 : Graphing

What is the slope of the linear line that passes through the origin and the point (-2,-3) ?

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$-\frac{2}{3}$

$-\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Slope of a line given 2 points can be found using

$m=\frac{{y_2-y_1}}{x_2-x_1}$ .

Therefore $m=\frac{-3-(0)}{-2-(0)}$

$m=\frac{3}{2}$

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GRE Math : Graphing

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #221 : Advanced Geometry

Example Question #1 : Graphing

Example Question #2 : Graphing

Example Question #1 : Graphing

All GRE Math Resources

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