Graphing Exponential Functions

Front

What is the equation that best represents an exponential growth function?

Back

y=2^x

Front

What is the horizontal asymptote for the graph of f(x)=13(0.5)^x?

Back

y=0

Front

What is the domain of the function y=2^x?

Back

Domain: −∞

Front

What is the range of the function y=2^x?

Back

Range: y>0

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a horizontal line that the graph approaches but never touches.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its output values rise as the input values increase.

Front

What is the growth factor in the function y=2^x?

Back

The growth factor is 2.

Front

What is an example of a decreasing exponential function?

Back

y=3(0.5)^x is an example of a decreasing exponential function.

Front

What is the general form of an exponential function?

Back

y = a(b^x), where a is a constant and b is the base.

Front

What happens to the graph of y=2^x as x approaches negative infinity?

Back

As x approaches negative infinity, y approaches 0.