HELP ASAP Is this exponential growth or decay? y= x(1/3)^x+1 What are the transformations

Question

asked Nov 5, 2021 232k views

1 Answer

Dior · Answer 1 · 2021-11-09T14:05:34+0000

Answer:

a) Exponential decay

b,) The parent function is shifted up 1 unit.

Explanation:

Assuming your function is

y = ( (1)/(3) )^(x) + 1

Then we can compare this to:

$y = {b}^(x) + c$

If

$0 \: < \: b \: < 1$

then y is an exponential decay function.

If |b|>1, then y is an exponential growth.

We can see that:

$0 \: < \: (1)/(3) \: < \: 1$

Therefore the given function is an exponential decay.

The parent function is shifted up 1 unit.