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:

Four-fifths

Step-by-step 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

$a = \frac{4}{5}$

$0 < (\frac{4}{5} )< 1$ ....... > the function would shrinks

For case B

$a = \frac{5}{4}$

$(\frac{5}{4} )>1$ .......> the function would enlarge

For case C

$a = \frac{3}{2}$

$(\frac{3}{2} )>1$ .........> the function would enlarge

For case D

$a = \frac{7}{4}$

$(\frac{7}{4} )>1$ .........> the function would enlarge

Therefore the second option is correct

Answer 2

Answer: 4/5

Step-by-step explanation: E2020