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Sketch a graph of a function 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.) f is continuous everywhere except at ,x=-4, x=1 and x=7. f has an infinite discontinuity at x=1 f has a removable discontinuity at . x=7 f has a jump discontinuity at x=-4 lim f(x) --> inf f(x)=3 lim f(x) ---> 1 =inf f(7)=3 lim x--->7 f(x)=-3 lim x--->-4+ f(x)=3 lim x--->-4- f(x)=-2

Sketch a graph of a function 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.) f is continuous everywhere except at ,x=-4, x=1 and x=7. f has an infinite discontinuity at x=1 f has a removable discontinuity at . x=7 f has a jump discontinuity at x=-4 lim f(x) --> inf f(x)=3 lim f(x) ---> 1 =inf f(7)=3 lim x--->7 f(x)=-3 lim x--->-4+ f(x)=3 lim x--->-4- f(x)=-2

College Algebra (MindTap Course List)
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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Sketch a graph of a function 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.) f is continuous everywhere except at ,x=-4, x=1 and x=7.

f has an infinite discontinuity at x=1

f has a removable discontinuity at . x=7

f has a jump discontinuity at x=-4

lim f(x) --> inf f(x)=3

lim f(x) ---> 1 =inf

f(7)=3

lim x--->7 f(x)=-3

lim x--->-4+ f(x)=3

lim x--->-4- f(x)=-2

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