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Complete parts (a) and (b). a. Write the inverse of y = 10% in logarithmic form. b. Graph y = 10% and its inverse and discuss the symmetry of their graphs. Click to enlarge graph

Complete parts (a) and (b). a. Write the inverse of y = 10% in logarithmic form. b. Graph y = 10% and its inverse and discuss the symmetry of their graphs. Click to enlarge graph

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Complete parts (a) and (b).** **a.** Write the inverse of \( y = 10^x \) in logarithmic form. **b.** Graph \( y = 10^x \) and its inverse and discuss the symmetry of their graphs. --- **Discuss the symmetry of the graphs. Choose the correct answer below.** A. The graphs are symmetric with respect to the y-axis. B. The graphs are symmetric with respect to the line \( y = x \). C. The graphs are symmetric with respect to the x-axis. D. The graphs are symmetric with respect to the line \( y = -x \). - Option B is selected, indicating the graphs are symmetric with respect to the line \( y = x \). --- **Graph Explanation:** A graph is available for further inspection, indicated by a clickable area to enlarge it. The graph likely displays the exponential function \( y = 10^x \) and its inverse, the logarithmic function \( x = \log_{10}(y) \), showing their symmetry about the line \( y = x \).
Transcribed Image Text:**Complete parts (a) and (b).** **a.** Write the inverse of \( y = 10^x \) in logarithmic form. **b.** Graph \( y = 10^x \) and its inverse and discuss the symmetry of their graphs. --- **Discuss the symmetry of the graphs. Choose the correct answer below.** A. The graphs are symmetric with respect to the y-axis. B. The graphs are symmetric with respect to the line \( y = x \). C. The graphs are symmetric with respect to the x-axis. D. The graphs are symmetric with respect to the line \( y = -x \). - Option B is selected, indicating the graphs are symmetric with respect to the line \( y = x \). --- **Graph Explanation:** A graph is available for further inspection, indicated by a clickable area to enlarge it. The graph likely displays the exponential function \( y = 10^x \) and its inverse, the logarithmic function \( x = \log_{10}(y) \), showing their symmetry about the line \( y = x \).
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