Question

What is the multiplicative rate of change for the exponential function f(x) = f start bracket x end bracket equals two start bracket five-halves end bracket superscript negative x

Answer 1

Answer:

The multiplicative rate of change is $\dfrac{2}{5}.$

Step-by-step explanation:

You are given the function

$f(x)=2\cdot \left(\dfrac{5}{2}\right)^{-x}$

First, use the following property of exponents

$\left(\dfrac{a}{b}\right)^{-x}=\left(\dfrac{b}{a}\right)^{x}$

So, your function is

$f(x)=2\cdot \left(\dfrac{2}{5}\right)^{x}$

If the exponential function is written in the form

$f(x)=a\cdot b^x,$

then b is the multiplicative rate of change for this exponential function.

In your case, the multiplicative rate of change is $\dfrac{2}{5}.$

Answer 2

Answer:

a) 0.4

Step-by-step explanation:

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