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Graph each line below on the same set of axes. f(x)=-x+3 b. a. Ax) = 3x - 3

Graph each line below on the same set of axes. f(x)=-x+3 b. a. Ax) = 3x - 3

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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3-9. Graph each line below on the same set of axes. a. \( f(x) = 3x - 3 \) b. \( f(x) = -\frac{2}{3}x + 3 \) ### Explanation For this task, you need to graph the two linear functions on the same coordinate plane. - **Function a**: \( f(x) = 3x - 3 \) - Slope (m): 3 - Y-intercept (b): -3 - **Function b**: \( f(x) = -\frac{2}{3}x + 3 \) - Slope (m): -\(\frac{2}{3}\) - Y-intercept (b): 3 ### Graphing Guide 1. **Plot the Y-intercepts**: - For (a), start at (0, -3) - For (b), start at (0, 3) 2. **Use the Slope for Additional Points**: - For (a), from (0, -3), move up 3 units and right 1 unit for the next point. - For (b), from (0, 3), move down 2 units and right 3 units for the next point. 3. **Draw the Lines**: - Connect the points for each function to see the full line. This visual representation will help you compare the slopes and intercepts of the two functions.
Transcribed Image Text:3-9. Graph each line below on the same set of axes. a. \( f(x) = 3x - 3 \) b. \( f(x) = -\frac{2}{3}x + 3 \) ### Explanation For this task, you need to graph the two linear functions on the same coordinate plane. - **Function a**: \( f(x) = 3x - 3 \) - Slope (m): 3 - Y-intercept (b): -3 - **Function b**: \( f(x) = -\frac{2}{3}x + 3 \) - Slope (m): -\(\frac{2}{3}\) - Y-intercept (b): 3 ### Graphing Guide 1. **Plot the Y-intercepts**: - For (a), start at (0, -3) - For (b), start at (0, 3) 2. **Use the Slope for Additional Points**: - For (a), from (0, -3), move up 3 units and right 1 unit for the next point. - For (b), from (0, 3), move down 2 units and right 3 units for the next point. 3. **Draw the Lines**: - Connect the points for each function to see the full line. This visual representation will help you compare the slopes and intercepts of the two functions.
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