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

Answer:

d. (3,24)

Step-by-step explanation:

The given exponential growth curve is

$f(x) = 2 \times {4}^{x}$

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

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

$f(3) = 2 \times {4}^{3} = 128$

This point is on the curve.

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

$f(2) = 2 \times {4}^{2} = 2 \times 16 = 32$

This point is also on this curve.

For (1,8), we have:

$f(1) = 2 \times {4}^{1} = 2 \times 4 = 8$

This point is on the curve.

For (3,24), we have:

$f(3) = 2 \times {4}^{3} = 2 \times 64 = 128 \ne24$

This point is NOT on the curve.