Question

The function f (x) = 2•4^x can be used to represent an exponential growth curve. Which of

the following points is NOT on the curve?

a. (3,128)

b. (2,32)

c. (1,8)

d. (3,24)

Answer 1

d. (3,24)

Explanation:

The given exponential growth curve is

`f(x) = 2 * {4}^(x)`

Any point that does not satisfy the function equation is NOT on the curve.

For (3,128), we substitute x=3, to get:

`f(3) = 2 * {4}^(3) = 128`

This point is on the curve.

For (2,32), we substitute x=2,

`f(2) = 2 * {4}^(2) = 2 * 16 = 32`

This point is also on this curve.

For (1,8), we have:

`f(1) = 2 * {4}^(1) = 2 * 4 = 8`

This point is on the curve.

For (3,24), we have:

`f(3) = 2 * {4}^(3) = 2 * 64 = 128 \\e24`

This point is NOT on the curve.