Exponential Graphs

Front

What is an asymptote?

Back

An asymptote is a line that a graph approaches but never touches. It can be horizontal, vertical, or oblique.

Front

What is the horizontal asymptote of the function y = 2^x - 3?

Back

y = -3

Front

What is the horizontal asymptote of the function y = 2^x?

Back

y = 0

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, substitute x = 0 into the function and solve for y.

Front

What is the y-intercept of the function y = 2^x - 3?

Back

(0, -3)

Front

What is the y-intercept of the function y = 2^x?

Back

(0, 1)

Front

What does the graph of an exponential function look like?

Back

The graph of an exponential function rises or falls rapidly, depending on the base, and approaches the asymptote.

Front

What is the base of an exponential function?

Back

The base is the constant that is raised to a power in the function, such as 2 in y = 2^x.

Front

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

Back

As x approaches negative infinity, y approaches 0.

Front

What is the effect of changing the base in an exponential function?

Back

Changing the base affects the rate of growth or decay of the function.