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.
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