Question

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answer 1

the answer to that complicated question my good sir or mam is 5

Answer 2

5

Explanation:

Consider the given function

`f(x)=2(5)^x` .... (1)

It is given that the graph of function passes through the points (1, 10), (2, 50), and (3, 250).

The general form of an exponential function is

`f(x)=ab^x` ..... (2)

where, a is the initial value and b is the multiplicative rate of change of the function.

On comparing (1) and (2) we get

`a=2,b=5`

Therefore, the initial value of the function is 2 and multiplicative rate of change of the function is 5.