Which of the following represents exponential growth? choose all that apply.

group of answer choices
y=(5/4)^x

y=4^-x

y=5^x

y=(4/5)^x

Step-by-step explanation:

we know that

In a exponential function of the form

where

a is the initial value

b is the base

If the value of b >1 ----> then is a exponential growth

If the value of b <1 ----> then is a exponential decay

Verify each case

case a) we have

b> 1

therefore

The function represent exponential growth

case b) we have

b< 1

therefore

The function represent exponential decay

case c) we have

b> 1

therefore

The function represent exponential growth

case d) we have

b< 1

therefore

The function represent exponential decay

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2