For the function f whose graph is given, state the following. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enterDNE.)y-6-4-224,(a)lim f(x)X → 00(b)lim f(x)X → -00(c)lim f(x)X → 1Dnelim f(x)X → 3(d)Dne(e) the equations of the asymptotes (Enter your answers as comma-separated lists.)388.

The limit of a function f(x), as x→c, exists if the left limit and the right limit exist and are…

Answered: For the function f whose graph is…

For the function f whose graph is given, state the following. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) y -6 -4 2 4. 6.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.8: Linear And Quadratic Functions

Problem 2WE

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

For the function f whose graph is given, state the following. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter
DNE.)
y
-6
-4
-2
2
4,
(a)
lim f(x)
X → 00
(b)
lim f(x)
X → -00
(c)
lim f(x)
X → 1
Dne
lim f(x)
X → 3
(d)
Dne
(e) the equations of the asymptotes (Enter your answers as comma-separated lists.)
3
8
8.

Expert Solution

Step 1

The limit of a function f(x), as $x \to c$ , exists if the left limit and the right limit exist and are both equal i.e.

$I f, \underset{x \to c^{-}}{l i m} f (x) = \underset{x \to c^{+}}{l i m} f (x) = L t h e n, \underset{x \to c}{l i m} f (x) = L$

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