Using Function Notation to Compare Linear and Exponential Functions

5.14.4 Using Function Notation to Compare Linear and Exponential Functions

5.14.4 • Using Function Notation to Compare Linear and Exponential Functions

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.