Question

Which of the following options results in a graph that shows exponential growth?

f(x) = 0.4(0.2)x
f(x) = 4(0.98)x
f(x) = 0.7(5)x
f(x) = 5(4)−x

Answer 1

Look at the number inside the parenthesis; if it is greater than 1, then that's an exponential growth.

Answer 2

Examples:
\(\huge f(x)=100(2)^x\)
\(\huge f(x)=0.5(9)^x\)

The numbers in the parentheses are 2 and 9. They are greater than 1, so they both show an exponential growth.

Answer 3

Did you understand it?