Question

Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) superscript x

Answer 1

The value of a in the exponential function is 4/5.

Given the exponential function is f(x)=a(3/2)ˣ.

An function may be a mathematical relation of the subsequent form: f(x)=aˣ. where x may be a variable, and a could be a constant called the exponential of the function.

When multiplying the any function by a constant, we may expand or shrink the function in the y-direction.

y=a(b)ˣ

If a>1 then the function will enlarge.

If a<1 then the function will shrink.

When a=4/5

Then 4/5<1 means the function would shrink.

When a=5/4

Then 5/4>1 means the function would enlarge.

When a=3/2

Then 3/2>1 means the function would enlarge.

When a=7/4

Then 7/4>1 means the function would enlarge.

Hence, the given function f(x)=a(3/2)ˣ would shrink when a=4/5.

Learn more about exponential function from here brainly.com/question/2456547

#SPJ4