Algebra 2 Flashcards: Comparing Linear Quadratic Polynomial Exponential Growth

Study Comparing Linear Quadratic Polynomial Exponential Growth in Algebra 2 with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Which grows faster for large xx: f(x)=2xf(x)=2^x or g(x)=100x3g(x)=100x^3?

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ANSWER

2x2^x. Exponential with base >1>1 eventually exceeds any polynomial.

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Algebra 2: Construct & Compare Functions

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What this deck covers

This deck focuses on Comparing Linear Quadratic Polynomial Exponential Growth, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

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.

Practice questions

1 of 50Practice questions for this set
Order the following functions by eventual growth rate (fastest to slowest):
  • a(x)=0.0013xa(x)=0.001\cdot 3^x (exponential)
  • b(x)=x6b(x)=x^6 (polynomial)
  • c(x)=500x2c(x)=500x^2 (quadratic)
  • d(x)=12xd(x)=12x (linear)​
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