How do you determine if the equation # y = 0.84(1.45)^x# represents exponential growth or decay?
1 Answer
Mar 25, 2018
Look at the number in front of x: If it is less that 1, the graph slopes downwards, if it is greater than 1 the graph slopes upwards.
Explanation:
Look at the number in front of x:
If it is less that 1, the graph slopes downwards:
graph{0.5^x [-10, 10, -5, 5]}
If it is greater than 1 the graph slopes upwards:
graph{1.5^x [-10, 10, -5, 5]}
Since y=0.84(1.45) is greater than 1, we know it is growing.
graph{0.84(1.45)^x [-10, 10, -5, 5]}