Question

An exponential function is expressed in the form y=axb^x. The relation represents a growth when ________ and a decay when________

Answer 1:

Select a value -
b>1
0 b is positive
a>1
0 a is positive
a is negative

Answer 2:

Select a Value -

b>1
0 b is positive
a>1
0 a is positive
a is negative

Answer 1

Growth when: b>1.

Decay when: 0<b<1.

Explanation:

Any function in the form
`f(x) =a* b^x` , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.

if 0 < b < 1. It is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form
`y=a* b^x` The relation represents a growth when b >1 and a decay when 0<b<1.