Question

What is the multiplicative rate of change for the exponential function f(x)=2 (5/2)-x

Answer 1

F(x)=2(5/2)-x
y(0,2)
Is the intercept
Dom:x->IR

Answer 2

Answer:

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

Step-by-step explanation:

Here, the given function,

$f(x)=2(\frac{5}{2})^{-x}$

$=2(\frac{5^{-x}}{2^{-x}}$

$=2(\frac{2^x}{5^x}$

$\implies f(x)=2(\frac{2}{5})^x$

Which is an exponential function,

Since, in an exponential function $f(x)=ab^x$

b is called growth factor or  multiplicative rate of change,

By comparing,

b = 2/5,

Hence, The multiplicative rate of change of the given function is $\frac{2}{5}$