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which value of a in the exponential function below would cause the function to shrink? f(x) = a(3/2)^x a.4/5 b.5/4 c.3/2 d.7/4

2 Answers

0 votes
f(x) will shrink when a < 1. i.e a = 4/5
User Dzeri
by
8.6k points
2 votes

we know that

We can enlarge or shrink the function in the y-direction by multiplying the function by a constant.

we have


y=a(b^(x))

if
a> 1 -------> the function enlarge

if
0< a < 1 -------> the function shrinks

case A)
a=4/5


0 < (4/5)< 1 ------> the function shrinks

case B)
a=5/4


(5/4)> 1 ------> the function enlarge

case C)
a=3/2


(3/2)> 1 ------> the function enlarge

case D)
a=7/4


(7/4)> 1 ------> the function enlarge

therefore

the answer is


a=4/5

User Sneha
by
8.2k points

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