Correct answer only ! 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.

 B

Step-by-step 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)