Question

The function LaTeX: f\left(x\right)=2\cdot4^xf ( x ) = 2 ⋅ 4 xcan be used to represent an exponential growth curve. What is the multiplicative rate of change of the function?
Group of answer choices

2

4

8

32

Answer 1

Option B: 4 is the multiplicative rate of change of the function

Explanation:

The exponential growth function is $f(x)=2(4)^x$

We need to determine the multiplicative rate of change of the function.

First, let us determine the values of function.

x        y

1        8

2       32

3       128

4       512

Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.

Thus, the multiplicative rate of change of the function is given by

Multiplicative rate of change of the function = $\frac{32}{8} =4$

Multiplicative rate of change of the function = $\frac{128}{32} =4$

Multiplicative rate of change of the function = $\frac{512}{128} =4$

Thus, the multiplicative rate of change of the function is 4

Therefore, Option B is the correct answer.