Question

Which of the following terms best describes the graph of the exponential function given below? F(x)=9*((1)/(7))^(x)

A. Linear
B.Decreasing
C.Increasing
D.Quadratic

Answer 1

The correct answer should be B, a decreasing function.

Answer 2

B. Decreasing

Explanation:

We have been given formula of a function
`F(x)=9\cdot ((1)/(7))^x`. We are supposed to determine the type of our given function.

We know that an exponential function is in form
`y=a\cdot b^x`, where,

a = Initial value,

b = If
`b>1`, then the function is growth function. If
`b<1`, then the function is decay function.

Upon looking at our given function we can see it is in form of exponential function.

Upon comparing our given function with standard exponential function, we can see that the value of a is 9 and value of b is
`(1)/(7)`.

Since
`(1)/(7)<1`, therefore, our function is decreasing and option B is the correct choice.