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The functions f(x) and g(x) are graphed below. 5 3 Determine 2+ 1 -5 -4 -3 -2 -1 -1 -2 -3- -5+ 1 Determine (f+g)(1) = Determine (f- g)(3) = Determine (fg) (-1) = (4) (4) = 5 4 = 2 3 4 5 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5+ IN 1 1 2 3 4 5 a

The functions f(x) and g(x) are graphed below. 5 3 Determine 2+ 1 -5 -4 -3 -2 -1 -1 -2 -3- -5+ 1 Determine (f+g)(1) = Determine (f- g)(3) = Determine (fg) (-1) = (4) (4) = 5 4 = 2 3 4 5 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5+ IN 1 1 2 3 4 5 a

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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**Understanding Function Operations through Graphs** In this exercise, we will explore function operations using the graphs of two given functions \( f(x) \) and \( g(x) \). The graphs for each function are provided below. ### Graph Analysis #### Function \( f(x) \): The graph of \( f(x) \) is displayed on the left: - \( f(-4) = 2 \) - \( f(-2) = -3 \) - \( f(0) = 1 \) - \( f(2) = 1 \) - \( f(4) = 3 \) The points plotted for \( f(x) \) create a broken line graph showing distinct y-values at specific x-points. #### Function \( g(x) \): The graph of \( g(x) \) is displayed on the right: - \( g(-4) = 0 \) - \( g(-2) = 4 \) - \( g(0) = -4 \) - \( g(2) = 0 \) - \( g(4) = 2 \) The points plotted for \( g(x) \) also create a broken line graph showcasing y-values at specific x-points. ### Determining Values for Function Operations 1. **(f + g)(1)** - First, find \( f(1) \) and \( g(1) \): - From the graph of \( f(x) \), \( f(1) = 1 \) - From the graph of \( g(x) \), \( g(1) = 1 \) - Then, \( (f + g)(1) = f(1) + g(1) = 1 + 1 = 2 \) 2. **(f - g)(3)** - First, find \( f(3) \) and \( g(3) \): - From the graph of \( f(x) \), \( f(3) = 1 \) - From the graph of \( g(x) \), \( g(3) = 1 \) - Then, \( (f - g)(3) = f(3) - g(3) = 1 - 1 = 0 \) 3. **(fg)(-1)** - First, find \( f(-1)
Transcribed Image Text:**Understanding Function Operations through Graphs** In this exercise, we will explore function operations using the graphs of two given functions \( f(x) \) and \( g(x) \). The graphs for each function are provided below. ### Graph Analysis #### Function \( f(x) \): The graph of \( f(x) \) is displayed on the left: - \( f(-4) = 2 \) - \( f(-2) = -3 \) - \( f(0) = 1 \) - \( f(2) = 1 \) - \( f(4) = 3 \) The points plotted for \( f(x) \) create a broken line graph showing distinct y-values at specific x-points. #### Function \( g(x) \): The graph of \( g(x) \) is displayed on the right: - \( g(-4) = 0 \) - \( g(-2) = 4 \) - \( g(0) = -4 \) - \( g(2) = 0 \) - \( g(4) = 2 \) The points plotted for \( g(x) \) also create a broken line graph showcasing y-values at specific x-points. ### Determining Values for Function Operations 1. **(f + g)(1)** - First, find \( f(1) \) and \( g(1) \): - From the graph of \( f(x) \), \( f(1) = 1 \) - From the graph of \( g(x) \), \( g(1) = 1 \) - Then, \( (f + g)(1) = f(1) + g(1) = 1 + 1 = 2 \) 2. **(f - g)(3)** - First, find \( f(3) \) and \( g(3) \): - From the graph of \( f(x) \), \( f(3) = 1 \) - From the graph of \( g(x) \), \( g(3) = 1 \) - Then, \( (f - g)(3) = f(3) - g(3) = 1 - 1 = 0 \) 3. **(fg)(-1)** - First, find \( f(-1)
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