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3.4 Graphs and Domains of Logarithmic Functions: Worked |
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Examples |
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Example 1. Characterize the graph of |
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SOLUTION.
The graph
of the logarithmic function |
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Domain:
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Range:
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x-intercept:
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As
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As
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Vertical
asymptote: |
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Example 2. Characterize the graph of |
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SOLUTION.
The graph
of the logarithmic function |
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Domain:
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Range:
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x-intercept:
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As
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As
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Vertical
asymptote: |
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Example 3. Find the domain of |
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SOLUTION.
You can
only take the log of a positive number:
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Example 4. Find the domain of |
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SOLUTION.
You can
only take the ln of a positive number:
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Example 5. Find the domain of |
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SOLUTION.
You can
only take the ln of a positive number:
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Find
the critical numbers: |
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Create a sign chart: |
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Determine
the solution interval: |
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