QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Describe the five-step procedure to graphing logarithmic functions in your own words.
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Answer
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Step 1: Understand the form of the logarithmic function
A general logarithmic function has the form f(2$) = log\_b(2$), where b is the base of the logarithm. To graph this function, it's essential to understand its domain, range, and asymptote. The domain is x > 0, the range is all real numbers, and the vertical asymptote is x = 0.
Step 2: Find key points and intercepts
To graph the function, find a few key points by setting the argument of the logarithm (x) equal to some powers of the base (b). For example, if f(2$) = log\_2(x), you can find the following points: f(2$) = log\_2(1) = 0 f(2$) = log\_2(2) = 1 f(2$) = log\_2(4) = 2 f(2$) = log\_2(8) = 3 These points help you visualize the shape of the graph and serve as a guide for drawing it.
Final Answer
Label the graph with the function name, the base, the vertical asymptote, and any important points. To ensure accuracy, check that the graph passes through the key points and approaches the vertical asymptote correctly.
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