12 – r|, 2. Suppose f(r) = {0, if a > 2 if r = 2 14 – 22|, if r < 2. (a) Find lim f (x). z+2+ (b) Find lim f(r). (c) State the value of lim f(x) and the precise reason. (d) State the precise reason why f is continuous at 2.2
12 – r|, 2. Suppose f(r) = {0, if a > 2 if r = 2 14 – 22|, if r < 2. (a) Find lim f (x). z+2+ (b) Find lim f(r). (c) State the value of lim f(x) and the precise reason. (d) State the precise reason why f is continuous at 2.2
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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Transcribed Image Text:(12 – x|,
if x > 2
2. Suppose f(x) =
0,
if x = 2
|4 – x2|, if x < 2.
(a) Find lim f(x).
r+2+
(b) Find lim f(x).
r+2-
(c) State the value of lim f(x) and the precise reason.
(d) State the precise reason why f is continuous at 2.2
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Follow-up Question
![5. Sketch the graph of a function f with domain [1,5] satisfying all the following conditions:
continuous on [1,5);
• discontinuous at 5 from the left;
has only one local maximum at 4;
has only one local minimum and also the absolute minimum at 2;
• has the absolute maximum at 5.](https://content.bartleby.com/qna-images/question/064036b4-a56e-4577-8b82-32c7d1e9ad14/924b0b9a-6524-4784-a55e-8b204acfb527/zad69e_processed.jpeg)
Transcribed Image Text:5. Sketch the graph of a function f with domain [1,5] satisfying all the following conditions:
continuous on [1,5);
• discontinuous at 5 from the left;
has only one local maximum at 4;
has only one local minimum and also the absolute minimum at 2;
• has the absolute maximum at 5.
Solution
by Bartleby ExpertFollow-up Question
![4. Find the derivatives of the following functions. Do not simplify your answer!
d
(a)
dx Vr2 +1
sec x
d
(b)
dx
[z*(x² + 1)° tan r]
d
(c)
sin
5
dx
d.
cos(r³ cos a)
(d)
dx](https://content.bartleby.com/qna-images/question/064036b4-a56e-4577-8b82-32c7d1e9ad14/c4a6bf79-fc6f-4b08-a912-ae31dd065526/u90g1a8_processed.jpeg)
Transcribed Image Text:4. Find the derivatives of the following functions. Do not simplify your answer!
d
(a)
dx Vr2 +1
sec x
d
(b)
dx
[z*(x² + 1)° tan r]
d
(c)
sin
5
dx
d.
cos(r³ cos a)
(d)
dx
Solution
by Bartleby ExpertFollow-up Question
Transcribed Image Text:if x >0
if x = 0. Find f' (0) using the definition of derivatives.
sin 4x
3. Suppose f(x) = {0
x* + 4x
if x < 0
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