Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Consider two functions: g(x)=20(1.5)^x and the function ​f(x)​ shown in the table.



Which statements are true?

Select EACH correct answer.

Answer 1

Answer: B

Explanation:

Evaluate each choice. Notice that f(x) is a positive parabola with vertex at (-3, -49) and g(x) is exponential growth.

A) False

rate of f(x) decreases and rate of g(x) increases. So, f(x) > g(x)

B) True

y-intercept of f(x) is -40 and y-intercept of f(x) is 20. So, f(x) < g(x) Note: the y-intercept is when x = 0

C) False

f(x) is decreasing before the vertex and increasing after the vertex. g(x) is increasing because it is exponential growth.

D) False

f(1) =13.3 (when x = 1) and g(-1) = -33 (when x = -1). So, f(1) > g(-1)