Exponential Functions Characteristics

Front

What is a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

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

Back

y = 0

Front

What happens to the graph of y = 3^(x+1) compared to y = 3^x?

Back

The graph shifts left one unit.

Front

What is the characteristic of an exponential growth function?

Back

The function increases rapidly as x increases.

Front

What is the characteristic of an exponential decay function?

Back

The function decreases rapidly as x increases.

Front

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

Back

y = 0

Front

How does the graph of y = 3^(x-1) compare to y = 3^x?

Back

The graph shifts right one unit.

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 does the base of an exponential function determine?

Back

The rate of growth or decay of the function.

Front

What is the horizontal asymptote of the function y = 5^x - 1?

Back

y = -1