Which of the following options results in a graph that shows exponential growth? f(x) = 0.4(3)^x f(x) = 3(0.5)^x f(x) = 0.8(0.9)^x f(x) = 0.9(5)^−x
1 Answer
Jun 6, 2017
See below
Explanation:
Let;s look at all the functions.
graph{1.2^x [-10, 10, -5, 5]}
graph{1.5^x [-10, 10, -5, 5]}
graph{.72^x [-10, 10, -5, 5]}
graph{4.5^-x [-10, 10, -5, 5]}
The first two functions exhibit exponential growth. The last 2 functions show exponential decay.
The second function is closer to "true" exponential growth.
graph{e^x [-10, 10, -5, 5]}