Question

Evaluate each function over the domain {-1,0,1,2}. As the values of the domain increase, do the values of the function increase of decrease?

1. y = 3^x

2.y = 3(1/5)^x

^These are the listed equations.

I really need help with this question, cause I am really lost. Could someone help me solve these and write a step by step explanation on how? Thank you!

-Kira

Answer 1

just plug in the domain values.
3^-1 = 1/3
3^0 = 1
and so on

For the function y=b^x, then as x increases
if b > 1, y increases, just as with compound interest
If b < 1, y decreases, as with radioactive decay

The graphs in your text should show this quite clearly.