Graphs of Logarithms and exponentials

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y > -3

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4

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Domain: x > -4; Range: all real numbers

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5

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Define the domain of a logarithmic function.

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The domain of a logarithmic function is the set of all x such that the argument of the logarithm is greater than zero.

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What is the general shape of the graph of an exponential function?

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The graph of an exponential function increases rapidly for positive x and approaches zero for negative x.

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What is the base of a logarithm?

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The base of a logarithm is the number that is raised to a power to obtain a given number.

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How do you find the x-intercept of a logarithmic function?

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Set the function equal to zero and solve for x.

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The vertical asymptote is at x = 0.