How do you determine if the equation #y = (7)^x# represents exponential growth or decay?
1 Answer
Jan 26, 2016
To check if an exponential function is increasing or decreasing you have to look at the base and at a coefficient next to the exponent. See explanation
Explanation:
Let
It can be:
- Increasing if (
#a>0# and#b>1# ) or (#a<0# and#b in (0;1)# ) - Decreasing if: (
#a>0# and#b in (0;1)# ) or (#a<0# and#b>1# )