Question

Based on the graph of the functions, which of the following statements is true?

Answer 1

A is the correct answer

Answer 2

g(x) eventually exceeds f(x) because g(x) is increasing exponentially

Explanation:

Consider the functions f and g below. f(x)=x+4 g(x)=(5/4)^x

f(x) =x+4 is a linear function

g(x)= (5/4)^x is an exponential function

Exponential function increases rapidly as x increases

Linear function increases at a constant rate

The graph of exponential function exceeds the graph of linear and quadratic functions.

So , g(x) eventually exceeds f(x) because g(x) is increasing exponentially