Sketch the graph of a function of that satisfies all 10 conditions below simultaneously. For this question,you do not need to prove or explain your answer, as long as the graph is correct and very clear.(a) The domain of f is R.(b) lim f(x) does not exist when a € {-2,2,4}, andI-athe limit exists for all other a € R.(c) lim f(x) = 0x→0(d) limf(x)] does not exist(e) lim f(x) = - ∞2--2-7-6-5-4372 -1yTo clarify, we want one single function f that satisfies all the conditions in all the parts, all at once.Make your graph tidy and unambiguous.654321T-2-3-4-5(f) lim f(x) = ∞x-2-6(g) lim(h) lim f(f(x)) = 32-4+m[f(x)]²=(i) lim f(x) = 21418(j) lim fx-2-~1 2= 4¹ (√(12) - 2).3= -345-co67x

Note: As per the guidelines we can solve only 3 subparts. Please repost it with other subparts.a)…

Answered: you do not (a) The domain of f is R.…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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you do not (a) The domain of f is R. prove or explain your answer, as long (b) lim f(x) does not exist when a € {-2,2,4), and x-a the limit exists for all other a E R. (c) lim f(x) = 0