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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?


2

5

10

32



Answer :

The multiplicative rate of change of the given exponential function is of 5.

What is an exponential function?

An exponential function is modeled according to the following rule:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value of the value, which is the value of y when x = 0.
  • b is the rate of change of the function, also called the multiplicative rate of change of the function.

For this problem, the function is given by the following rule:

[tex]f(x) = 2(5)^x[/tex]

Hence the parameters are given as follows, considering their meaning from the explanation above:

  • a = 2, meaning that when x = 0, y = 2.
  • b = 5, meaning that the multiplicative rate of change of the given exponential function is of 5.

More can be learned about exponential functions at https://brainly.com/question/25537936

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