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Use the graphs of f(x) and g(x) to determine all of the solutions of the equation f(x) g(x). Approximate to the nearest integer and select all that apply. 00 x = 12 00 x = 25 x = 10 x = -2 x = 3 |x = 5 x = -3 x = 0 30 10 -10- -20 -30 f(x) (g(x)

Use the graphs of f(x) and g(x) to determine all of the solutions of the equation f(x) g(x). Approximate to the nearest integer and select all that apply. 00 x = 12 00 x = 25 x = 10 x = -2 x = 3 |x = 5 x = -3 x = 0 30 10 -10- -20 -30 f(x) (g(x)

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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### Using Graphs of f(x) and g(x) to Solve Equations #### Instructions Use the graphs of \( f(x) \) and \( g(x) \) to determine all of the solutions of the equation \( f(x) = g(x) \). Approximate to the nearest integer and select all that apply. ##### Graph Description The graphs of \( f(x) \) and \( g(x) \) are plotted on a coordinate plane. The x-axis ranges from -6 to 6, and the y-axis ranges from -30 to 30. - The graph of \( f(x) \) is a horizontal line fixed at \( y = 10 \). - The graph of \( g(x) \) is a curve that intersects the horizontal line \( y = 10 \) at three points. ##### Intersection Points To solve the equation \( f(x) = g(x) \), find where the graph of \( g(x) \) intersects the line \( y = 10 \). By approximating the x-coordinates of these intersection points to the nearest integer, we have the following possible solutions: 1. \( x \approx -4 \) 2. \( x \approx 0 \) 3. \( x \approx 3 \) #### Select the Nearest Integers Based on the above intersections, select the appropriate integers from the given options: - [ ] \( x = 12 \) - [ ] \( x = 25 \) - [ ] \( x = 10 \) - [x] \( x = -2 \) (Corresponds to \( f(-2) = g(-2) \)) - [x] \( x = 3 \) - [ ] \( x = 5 \) - [ ] \( x = -3 \) - [x] \( x = 0 \) Correct answers: \( x = -2 \), \( x = 0 \), and \( x = 3 \).
Transcribed Image Text:### Using Graphs of f(x) and g(x) to Solve Equations #### Instructions Use the graphs of \( f(x) \) and \( g(x) \) to determine all of the solutions of the equation \( f(x) = g(x) \). Approximate to the nearest integer and select all that apply. ##### Graph Description The graphs of \( f(x) \) and \( g(x) \) are plotted on a coordinate plane. The x-axis ranges from -6 to 6, and the y-axis ranges from -30 to 30. - The graph of \( f(x) \) is a horizontal line fixed at \( y = 10 \). - The graph of \( g(x) \) is a curve that intersects the horizontal line \( y = 10 \) at three points. ##### Intersection Points To solve the equation \( f(x) = g(x) \), find where the graph of \( g(x) \) intersects the line \( y = 10 \). By approximating the x-coordinates of these intersection points to the nearest integer, we have the following possible solutions: 1. \( x \approx -4 \) 2. \( x \approx 0 \) 3. \( x \approx 3 \) #### Select the Nearest Integers Based on the above intersections, select the appropriate integers from the given options: - [ ] \( x = 12 \) - [ ] \( x = 25 \) - [ ] \( x = 10 \) - [x] \( x = -2 \) (Corresponds to \( f(-2) = g(-2) \)) - [x] \( x = 3 \) - [ ] \( x = 5 \) - [ ] \( x = -3 \) - [x] \( x = 0 \) Correct answers: \( x = -2 \), \( x = 0 \), and \( x = 3 \).
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