Exponential Functions Key Features

Front

What is the domain of an exponential function?

Back

All real numbers.

Front

What is the initial value of the function y=3^x?

Back

1.

Front

What is the x-intercept of an exponential function?

Back

There is no x-intercept.

Front

Identify the y-intercept in the function f(x)=13(0.27)^x.

Back

13.

Front

Is the function f(x)=2(4)^x increasing or decreasing?

Back

Increasing.

Front

What is the general form of an exponential function?

Back

f(x) = a(b)^x, where a is the initial value and b is the base.

Front

What does the base of an exponential function determine?

Back

The rate of growth or decay.

Front

If b > 1 in f(x) = a(b)^x, what type of function is it?

Back

An increasing function.

Front

If 0 < b < 1 in f(x) = a(b)^x, what type of function is it?

Back

A decreasing function.

Front

What is the y-intercept of the function f(x) = 5(2)^x?

Back

5.