Graphing Logarithmic Functions

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What is the Domain of a logarithmic function?

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What is the Range of a logarithmic function?

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The range of a logarithmic function is all real numbers, as logarithmic functions can take any real value as output.

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CCSS.HSF-IF.C.7E

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What is the relationship between logarithmic functions and exponential functions?

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CCSS.HSF.BF.B.5

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CCSS.HSF-IF.C.7E

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A negative sign reflects the graph of the logarithmic function across the x-axis.

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CCSS.HSF-IF.C.7E

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The transformation represents a vertical shift of the graph by k units.

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The transformation represents a horizontal shift of the graph to the right by h units.

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The range is all real numbers because the logarithmic function can take any real value, and the negative sign and vertical shift do not restrict the range.

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Domain: x > 0; Range: all real numbers.