Question

Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. f(x) = 3(4)(2x-4). h(x) = (x + 2)3 + 1.

A) x=-3
B) x=0
C) x=2
D) x= 4

Answer 1

Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. f(x) = 3(4)(2x-4). h(x) = (x + 2)3 + 1.

D) x= 4

Answer 2

The correct option is D.

Explanation:

The exponential function is

`f(x)=3(4)^(2x-4)`

The polynomial function is

`h(x)=(x+2)^3+1`

Find the values of both functions at x=-3, 0, 2, 4.

x values f(x) h(x)

-3 0.0000029 0

0 0.012 9

2 3 65

4 768 217

From this table we can say that the exponential function f(x) exceeds the polynomial function g(x) at x=4.

Therefore the correct option is D.