Question

8.Which statement best describes the conditions for 

f
(
x
)
=
a
(
b
)
x
fx=abx
to be a model for exponential decay?

A.
b
>
0
b>0

B.
b
<
0
b<0

C.
0
<
b
<
1
0
D.
b
>
1
b>1

Answer 1

(c) ......................

Answer 2

C.
`0<b<1`

Explanation:

The given function is

`f(x)=a(b)^(x)`

Exponential functions which have the independent variable as an exponent.

Moreover, these functions can express decay or growth. If the exponential function is decreasing, that will express decay.

Specifically, the condition to have a decreasing exponential function is that
`0<b<1`, that is, the base of the power must be between zero and one.

This means that the right answer is C, because expresses this condition for exponential decay.