Unit 9 Flashcard Review: Exponential Functions

Front

What is an exponential function?

Back

Front

What is the difference between exponential growth and exponential decay?

Back

Front

What does the graph of an exponential growth function look like?

Back

The graph of an exponential growth function rises steeply to the right and approaches the x-axis but never touches it.

Front

What does the graph of an exponential decay function look like?

Back

The graph of an exponential decay function falls steeply to the right and approaches the x-axis but never touches it.

Front

What is the general form of an exponential function?

Back

Front

How do you identify an exponential function from a table of values?

Back

An exponential function can be identified if the ratio of consecutive outputs is constant when the inputs are equally spaced.

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Back

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Front

What does the term 'asymptote' mean in the context of exponential functions?

Back

An asymptote is a line that a graph approaches but never touches. For exponential functions, the x-axis (y=0) is a horizontal asymptote.

Front

How can you determine if a function is linear or exponential from its graph?

Back

A linear function has a constant slope and forms a straight line, while an exponential function has a variable slope that increases or decreases rapidly.