4. Sketch a graph of a function g that satisfies each of the following. (Feel free to use the circles to check off each condition as you graph it, or you can check them off to double check your graph.) g is continuous everywhere except at three points, x=-4, x = 1, and x = 6. g has vertical asymptotes at both x = -4 and x = 6. Og has a jump discontinuity at x = 1. 8 Olim g(x) = 2. lim_g(x) = -1. O g(1) = 3. Og is decreasing on the interval (-1,1) U (1,6). Og is increasing on the interval (-∞, -4) U (-4, -1) U (6,00). Og has a local maximum at x = 0.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 4SC
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Please help me graph these conditions!
4. Sketch a graph of a function g that satisfies each of the following. (Feel free to use the circles to check off each
condition as you graph it, or you can check them off to double check your graph.)
Og is continuous everywhere except at three points, x=-4, x = 1, and x = 6.
Og has vertical asymptotes at both x = - 4 and x = 6.
g has a jump discontinuity at x = 1.
Olim g(x) = 2.
lim_g(x) = -1.
Og(1) = 3.
Og is decreasing on the interval (-1,1) U (1,6).
Og is increasing on the interval (-∞o,-4) U (-4,-1) U (6,00).
Og has a local maximum at x = 0.
Transcribed Image Text:4. Sketch a graph of a function g that satisfies each of the following. (Feel free to use the circles to check off each condition as you graph it, or you can check them off to double check your graph.) Og is continuous everywhere except at three points, x=-4, x = 1, and x = 6. Og has vertical asymptotes at both x = - 4 and x = 6. g has a jump discontinuity at x = 1. Olim g(x) = 2. lim_g(x) = -1. Og(1) = 3. Og is decreasing on the interval (-1,1) U (1,6). Og is increasing on the interval (-∞o,-4) U (-4,-1) U (6,00). Og has a local maximum at x = 0.
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