5.14.4 Using Function Notation to Compare Linear and Exponential Functions

Algebra 15.14.4 Using Function Notation to Compare Linear and Exponential Functions

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Cool Down

The function $f$ is given by $f (x) = 10 x + 3$ , and the function $g$ is given by $g (x) = 2^{x}$ . For each question, show your reasoning.

Which function reaches 50 first?

Compare your answer:

$f (5) = 53$ and $g (5) = 32$ , so $f$ reaches 50 first.

Which function reaches 100 first?

Compare your answer:

$f (7) = 73$ and $g (7) = 128$ , so $g$ reaches 100 first.

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
- Publisher/website: OpenStax
- Book title: Algebra 1
- Publication date: Jun 4, 2025
- Location: Houston, Texas
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- Section URL: https://openstax.org/books/algebra-1/pages/5-14-4-using-function-notation-to-compare-linear-and-exponential-functions

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