1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.) Sketch the graph of a function f 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), and x→a the limit exists for all other a E R. (c) lim f(x)=0 x-0 (d) lim [f(x)] does not exist x-0 (e) lim f(x) = -x x4-2- (f) lim f(x) = ∞ x⇒2 (g) lim [f(x)]² = 4 x 4 (h) lim f(f(x)) = 3 x→4+ (i) lim f(x) = 2 811X (5(₁) - 2) = (j) lim f x-2 = -3 To 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.
1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.) Sketch the graph of a function f 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), and x→a the limit exists for all other a E R. (c) lim f(x)=0 x-0 (d) lim [f(x)] does not exist x-0 (e) lim f(x) = -x x4-2- (f) lim f(x) = ∞ x⇒2 (g) lim [f(x)]² = 4 x 4 (h) lim f(f(x)) = 3 x→4+ (i) lim f(x) = 2 811X (5(₁) - 2) = (j) lim f x-2 = -3 To 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.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
Related questions
Question
Please do part h) i) and j)
![1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on
Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.)
Sketch the graph of a function f 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}, and (g)
x→a
the limit exists for all other a E R.
(c) lim f(x) = 0
x-0
(d) lim[f(x)] does not exist
x-0
(e) lim f(x) = -x
x--2-
(f) lim f(x) = ∞
x 2
lim[ƒ(x)]² = 4
x 4
(h) lim f(f(x)) = 3
x→4+
(i) lim f(x) = 2
X118
(j) lim f
ƒ
x-2 f(x)
-
2
= -3
To 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe07e7f8c-44de-4a6a-b1c8-484f099be240%2F97a6e1dd-ab38-437a-b941-324783c94a2f%2F03ng0e3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on
Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.)
Sketch the graph of a function f 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}, and (g)
x→a
the limit exists for all other a E R.
(c) lim f(x) = 0
x-0
(d) lim[f(x)] does not exist
x-0
(e) lim f(x) = -x
x--2-
(f) lim f(x) = ∞
x 2
lim[ƒ(x)]² = 4
x 4
(h) lim f(f(x)) = 3
x→4+
(i) lim f(x) = 2
X118
(j) lim f
ƒ
x-2 f(x)
-
2
= -3
To 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.
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