Question

F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)

Answer 1

Answer:B

Step-by-step explanation: It’s a decay function

Answer 2

The correct option is B.

Explanation:

The general form of an exponential function is

`g(x)=ab^x` .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

`f(x)=6\cdot (0.4)^x` .... (2)

From (1) and (2) it is clear that

`a=6,b=0.4`

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Graph B represent a decreasing function with initial value 6. Therefore the correct option is B.