Exponential Functions

Determine which function is exponential.

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• y = 1

• y = 0

• y = 8

• y = x

What is the rule that defines the function represented by the table?

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• 2

• 3

• 4

• 16

• No, the graph approaches the y-axis and touches exactly at one point.

• No, the graph approaches the x-axis and touches it at exactly one point.

• Yes, the graph is always getting closer and closer to the y-axis but never touches it.

• Yes, the graph is always getting closer and closer to the x-axis but never touches it.

• Yes. Exponential functions increase for all values of b.

• No. Exponential functions decrease when b > 1.

• Yes. Exponential functions increase when 0 < b < 1.

• No. Exponential functions decrease when 0 < b < 1.

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The exponential function for the table of values is

Determine whether the following table represents a linear or an exponential function. Explain why or why not.

• Exponential; all of the x-values have a common difference and all of the y-values have a common ratio.

• Linear; all of the x-values have a common difference and all of the y-values have a common difference

• Exponential; all of the x-values have a common ratio and all of the y-values do not have a common difference.

• Linear; all of the x-values have a common difference and all of the y-values have a common ratio.

A television show will be canceled if the estimated number of viewers falls below 2.5 million by Week 10. Use the graph shown to write an exponential function to model the situation.