Exponential Functions Intro (Vocab)

Front

What is an exponential function?

Back

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, indicating growth.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a line that a graph approaches as the input (x) approaches positive or negative infinity.

Front

What is the difference between growth and decay in exponential functions?

Back

Growth occurs when the function increases over time (r > 0), while decay occurs when the function decreases over time (r < 0).

Front

Back

False.

Front

What is the general form of an exponential growth equation?

Back

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

True or False: All exponential functions have an asymptote.

Back

True.

Front

Back

The variable 'x' represents the exponent, which typically indicates time or the number of periods.

Front

What happens to the value of an exponential function as 'x' approaches infinity?

Back

As 'x' approaches infinity, the value of an exponential growth function increases without bound, while a decay function approaches the horizontal asymptote.