Question

Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) Superscript x Four-fifths Five-fourths Three-halves Seven-fourths

Answer 1

Answer: 4/5

Step-by-step explanation: E2020

Answer 2

Four-fifths

Explanation:

As we know that

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

Now we have

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

if
`a> 1` > the function would enlarge

if
`0< a < 1` > the function would shrinks

Now

For case A

`a = (4)/(5)`

`0 < ((4)/(5) )< 1` ....... > the function would shrinks

For case B

`a = (5)/(4)`

`((5)/(4) )>1` .......> the function would enlarge

For case C

`a = (3)/(2)`

`((3)/(2) )>1` .........> the function would enlarge

For case D

`a = (7)/(4)`

`((7)/(4) )>1` .........> the function would enlarge

Therefore the second option is correct