Question

50 points if you can help me !

A student says that the function
f(x)-=(1/0.5)^x is an exponential decay function. Explain the students error

Answer 1

The base is greater than 1, making it an exponential growth function.

Explanation:

The student's mistake is that an exponential decay function can only have the base as less than 1, but because 1/0.5 = 2, it's an exponential growth function.

Answer 2

Explanation:

f(x)=(1/0.5)^x

Lets simplify what is in the parentheses

1 / .5 = 2

f(x)=(2)^x

Since 2 > 1

This function grows