Question

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

Answer 1

Answer:

a) Exponential decay

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

Step-by-step explanation:

Assuming your function is

$y = ( \frac{1}{3} )^{x} + 1$

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:

$0 \: < \: \frac{1}{3} \: < \: 1$

Therefore the given function is an exponential decay.

The parent function is shifted up 1 unit.