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Calculate each value using the graphs of f(x) and g(x). Ty 9 (ƒ − g)(1) = 6 → 5 c 3 2 1 0 g(x) 4 -3 4 3 2 1 Ty O 2 3 4

Calculate each value using the graphs of f(x) and g(x). Ty 9 (ƒ − g)(1) = 6 → 5 c 3 2 1 0 g(x) 4 -3 4 3 2 1 Ty O 2 3 4

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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### Calculating Function Values Using Graphs #### Overview This section will guide you through calculating the value of \((f - g)(1)\) using the graphs of the functions \(f(x)\) and \(g(x)\). #### Graph of \(f(x)\) The left graph represents the function \(f(x)\). It is a continuous curve that oscillates between \(y = -1\) and \(y = 6\). - The \(y\)-intercept is at \( (0, 0) \). - Significant points on the graph include: - \( (-3, 0) \) - \( (-2, 5) \) - \( (0, 0) \) - \( (1, -1) \) - \( (2, 3) \) #### Graph of \(g(x)\) The right graph represents the function \(g(x)\). This function oscillates as well and has a varying range between \(y = -4\) and \(y = 4\). - The \(y\)-intercept is at \( (0, 2) \). - Significant points on the graph include: - \( (-3, 3) \) - \( (-2, 0) \) - \( (0, 2) \) - \( (1, 3) \) - \( (2, 0) \) #### Calculation To find the value of \((f - g)(1)\), follow these steps: 1. **Determine \(f(1)\) from the graph of \(f(x)\)**: - Locate \(x = 1\) on the \(f(x)\) graph. - The corresponding \(y\)-value is \( f(1) = -1 \). 2. **Determine \(g(1)\) from the graph of \(g(x)\)**: - Locate \(x = 1\) on the \(g(x)\) graph. - The corresponding \(y\)-value is \( g(1) = 3 \). 3. **Calculate \( (f - g)(1) \)**: - \( (f - g)(1) = f(1) - g(1) \) - Substituting the values: \[ (f - g)(1) = -1 -
Transcribed Image Text:### Calculating Function Values Using Graphs #### Overview This section will guide you through calculating the value of \((f - g)(1)\) using the graphs of the functions \(f(x)\) and \(g(x)\). #### Graph of \(f(x)\) The left graph represents the function \(f(x)\). It is a continuous curve that oscillates between \(y = -1\) and \(y = 6\). - The \(y\)-intercept is at \( (0, 0) \). - Significant points on the graph include: - \( (-3, 0) \) - \( (-2, 5) \) - \( (0, 0) \) - \( (1, -1) \) - \( (2, 3) \) #### Graph of \(g(x)\) The right graph represents the function \(g(x)\). This function oscillates as well and has a varying range between \(y = -4\) and \(y = 4\). - The \(y\)-intercept is at \( (0, 2) \). - Significant points on the graph include: - \( (-3, 3) \) - \( (-2, 0) \) - \( (0, 2) \) - \( (1, 3) \) - \( (2, 0) \) #### Calculation To find the value of \((f - g)(1)\), follow these steps: 1. **Determine \(f(1)\) from the graph of \(f(x)\)**: - Locate \(x = 1\) on the \(f(x)\) graph. - The corresponding \(y\)-value is \( f(1) = -1 \). 2. **Determine \(g(1)\) from the graph of \(g(x)\)**: - Locate \(x = 1\) on the \(g(x)\) graph. - The corresponding \(y\)-value is \( g(1) = 3 \). 3. **Calculate \( (f - g)(1) \)**: - \( (f - g)(1) = f(1) - g(1) \) - Substituting the values: \[ (f - g)(1) = -1 -
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