Question

Which is an exponential decay function? f(x) = 0.2 x f(x) = –3.1x f(x) = 10x f(x) = −2(0.7)x

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The exponential decay function is given by $\rm f(x) = -2(0.7)^x$ and this can be determined by comparing the given function with the generalized exponential decay function.

The generalized form of the exponential decay function is given by:

$\rm f(x) = ab^x$   --- (1)

Check all the options in order to determine which option is an exponential decay function.

A) $\rm f(x) = 0.2^x$

Compare the above function in order to determine the function is exponential decay function. This function is not an exponential decay function because it is not in the formate shown in equation (1).

B) $\rm f(x) = -3.1^x$

Compare the above function in order to determine the function is exponential decay function. This function is not an exponential decay function because it is not in the formate shown in equation (1).

C) $\rm f(x) = 10^x$

Compare the above function in order to determine the function is exponential decay function. This function is not an exponential decay function because it is not in the formate shown in equation (1).

D) $\rm f(x) = -2(0.7)^x$

Compare the above function in order to determine the function is exponential decay function. This function is an exponential decay function because it is in the formate shown in equation (1).

For more information, refer to the link given below:

https://brainly.com/question/14355665