STAAR Exponential Functions 2021

Front

What is an exponential function?

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Front

What does the base of an exponential function represent?

Back

The base of an exponential function determines the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

Front

What is an asymptote in the context of exponential functions?

Back

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

Front

How do you identify the range of an exponential function?

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Front

What is the domain of an exponential function?

Back

Front

What does it mean for an exponential function to have a growth rate of 25%?

Back

Front

How can you determine if a statement about an exponential function is true or false?

Back

To determine the truth of a statement about an exponential function, analyze the function's graph, table of values, or mathematical properties to verify the claim.

Front

What is the significance of the y-intercept in an exponential function?

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Front

How do you write an exponential decay function?

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Front

What is the difference between exponential growth and decay?

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Exponential growth occurs when the base of the function is greater than 1, leading to increasing values. Exponential decay occurs when the base is between 0 and 1, leading to decreasing values.