In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?

When the base of the exponential function is 1, the function will remain constant
When the base is between 0 and 1, the function will decrease

When the base is 1

This means that [tex]b = 1[/tex]

So, the function will be:

[tex]y = ab^x[/tex]

[tex]y = a \times 1^x[/tex]

[tex]y = a \times 1[/tex]

[tex]y = a[/tex]

This means that; irrespective of the x-value, the y-value will remain unchanged i.e. the function will be constant.

Hence, when [tex]b = 1[/tex], the exponential growth function will be a horizontal line

When the base is between 0 and 1

This is represented as [tex]0 < b < 1[/tex]

This means that the function is a decay function; the decay function decreases as the x-value increases.

So, when b is between 0 and 1, the function would decrease.

Read more about exponential growth functions at:

https://brainly.com/question/2193820

manlywoman manlywoman · Answer 2 · 2021-11-16T00:47:16+01:00

manlywoman manlywoman

16-11-2021

Answer:

If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

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