APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 9, Problem 63SYU
To determine
True or false:
The term
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A graph of the function f is given below:
Study the graph of ƒ at the value given below. Select each of the following that applies for the value a = 1
Of is defined at a.
If is not defined at x = a.
Of is continuous at x = a.
If is discontinuous at x = a.
Of is smooth at x = a.
Of is not smooth at = a.
If has a horizontal tangent line at = a.
f has a vertical tangent line at x = a.
Of has a oblique/slanted tangent line at x = a.
If has no tangent line at x = a.
f(a + h) - f(a)
lim
is finite.
h→0
h
f(a + h) - f(a)
lim
h->0+
and lim
h
h->0-
f(a + h) - f(a)
h
are infinite.
lim
does not exist.
h→0
f(a+h) - f(a)
h
f'(a) is defined.
f'(a) is undefined.
If is differentiable at x = a.
If is not differentiable at x = a.
The graph below is the function f(z)
4
3
-2
-1
-1
1
2
3
-3
Consider the function f whose graph is given above.
(A) Find the following. If a function value is undefined, enter "undefined". If a limit does not exist, enter
"DNE". If a limit can be represented by -∞o or ∞o, then do so.
lim f(z)
+3
lim f(z)
1-1
lim f(z)
f(1)
= 2
=
-4
= undefined
lim f(z) 1
2-1
lim f(z):
2-1+
lim f(x)
2+1
-00
= -2
= DNE
f(-1) = -2
lim f(z) = -2
1-4
lim f(z)
2-4°
00
f'(0)
f'(2)
=
=
(B) List the value(s) of x for which f(x) is discontinuous. Then list the value(s) of x for which f(x) is left-
continuous or right-continuous. Enter your answer as a comma-separated list, if needed (eg. -2, 3, 5). If
there are none, enter "none".
Discontinuous at z =
Left-continuous at x =
Invalid use of a comma.syntax incomplete.
Right-continuous at z =
Invalid use of a comma.syntax incomplete.
(C) List the value(s) of x for which f(x) is non-differentiable. Enter your answer as a comma-separated list,
if needed (eg. -2, 3, 5).…
A graph of the function f is given below:
Study the graph of f at the value given below. Select each of the following that applies for the value
a = -4.
f is defined at = a.
f is not defined at 2 = a.
If is continuous at x = a.
Of is discontinuous at x = a.
Of is smooth at x = a.
f is not smooth at x = a.
If has a horizontal tangent line at x = a.
f has a vertical tangent line at x = a.
Of has a oblique/slanted tangent line at x = a.
Of has no tangent line at x = a.
f(a + h) − f(a)
h
lim
is finite.
h→0
f(a + h) - f(a)
lim
is infinite.
h→0
h
f(a + h) - f(a)
lim
does not exist.
h→0
h
f'(a) is defined.
f'(a) is undefined.
If is differentiable at x = a.
If is not differentiable at x = a.
Chapter 9 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 9.1 - Prob. 1PCh. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4PCh. 9.1 - Prob. 5PCh. 9.1 - Prob. 6PCh. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Prob. 10P
Ch. 9.1 - Prob. 11PCh. 9.1 - Prob. 12PCh. 9.1 - Prob. 13PCh. 9.1 - Prob. 14PCh. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.2 - Prob. 1PCh. 9.2 - Prob. 2PCh. 9.2 - Prob. 3PCh. 9.2 - Prob. 4PCh. 9.2 - Prob. 5PCh. 9.2 - Prob. 6PCh. 9.2 - Prob. 7PCh. 9.2 - Prob. 8PCh. 9.2 - Prob. 9PCh. 9.2 - Prob. 10PCh. 9.2 - Prob. 11PCh. 9.2 - Prob. 12PCh. 9.2 - Prob. 13PCh. 9.2 - Prob. 14PCh. 9.2 - Prob. 15PCh. 9.2 - Prob. 16PCh. 9.2 - Prob. 17PCh. 9.2 - Prob. 18PCh. 9.2 - Prob. 19PCh. 9.2 - Prob. 20PCh. 9.2 - Prob. 21PCh. 9.2 - Prob. 22PCh. 9.3 - Prob. 1PCh. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.3 - Prob. 8PCh. 9.3 - Prob. 9PCh. 9.3 - Prob. 10PCh. 9.3 - Prob. 11PCh. 9.3 - Prob. 12PCh. 9.3 - Prob. 13PCh. 9.3 - Prob. 14PCh. 9.3 - Prob. 15PCh. 9.3 - Prob. 16PCh. 9.3 - Prob. 17PCh. 9.4 - Prob. 1PCh. 9.4 - Prob. 2PCh. 9.4 - Prob. 3PCh. 9.4 - Prob. 4PCh. 9.4 - Prob. 5PCh. 9.4 - Prob. 6PCh. 9.4 - Prob. 7PCh. 9.4 - Prob. 8PCh. 9.4 - Prob. 9PCh. 9.4 - Prob. 10PCh. 9.4 - Prob. 11PCh. 9.4 - Prob. 12PCh. 9.4 - Prob. 13PCh. 9.4 - Prob. 14PCh. 9.4 - Prob. 15PCh. 9.4 - Prob. 16PCh. 9.4 - Prob. 17PCh. 9.5 - Prob. 1PCh. 9.5 - Prob. 2PCh. 9.5 - Prob. 3PCh. 9.5 - Prob. 4PCh. 9.5 - Prob. 5PCh. 9.5 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.5 - Prob. 9PCh. 9.5 - Prob. 10PCh. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 14PCh. 9.5 - Prob. 15PCh. 9.5 - Prob. 16PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 20PCh. 9.5 - Prob. 21PCh. 9.5 - Prob. 22PCh. 9.5 - Prob. 23PCh. 9.5 - Prob. 24PCh. 9.5 - Prob. 25PCh. 9.6 - Prob. 1PCh. 9.6 - Prob. 2PCh. 9.6 - Prob. 3PCh. 9.6 - Prob. 4PCh. 9.6 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - Prob. 7PCh. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10PCh. 9.6 - Prob. 11PCh. 9.6 - Prob. 12PCh. 9.6 - Prob. 13PCh. 9.6 - Prob. 14PCh. 9.6 - Prob. 15PCh. 9.6 - Prob. 16PCh. 9.6 - Prob. 17PCh. 9.6 - Prob. 18PCh. 9.6 - Prob. 19PCh. 9.6 - Prob. 20PCh. 9.6 - Prob. 21PCh. 9.6 - Prob. 22PCh. 9.6 - Prob. 23PCh. 9.6 - Prob. 24PCh. 9.6 - Prob. 25PCh. 9.6 - Prob. 26PCh. 9.7 - Prob. 1PCh. 9.7 - Prob. 2PCh. 9.7 - Prob. 3PCh. 9.7 - Prob. 4PCh. 9.7 - Prob. 5PCh. 9.7 - Prob. 6PCh. 9.7 - Prob. 7PCh. 9.7 - Prob. 8PCh. 9.7 - Prob. 9PCh. 9.7 - Prob. 10PCh. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9 - Prob. 1SYUCh. 9 - Prob. 2SYUCh. 9 - Prob. 3SYUCh. 9 - Prob. 4SYUCh. 9 - Prob. 5SYUCh. 9 - Prob. 6SYUCh. 9 - Prob. 7SYUCh. 9 - Prob. 8SYUCh. 9 - Prob. 9SYUCh. 9 - Prob. 10SYUCh. 9 - Prob. 11SYUCh. 9 - Prob. 12SYUCh. 9 - Prob. 13SYUCh. 9 - Prob. 14SYUCh. 9 - Prob. 15SYUCh. 9 - Prob. 16SYUCh. 9 - Prob. 17SYUCh. 9 - Prob. 18SYUCh. 9 - Prob. 19SYUCh. 9 - Prob. 20SYUCh. 9 - Prob. 21SYUCh. 9 - Prob. 22SYUCh. 9 - Prob. 23SYUCh. 9 - Prob. 24SYUCh. 9 - Prob. 25SYUCh. 9 - Prob. 26SYUCh. 9 - Prob. 27SYUCh. 9 - Prob. 28SYUCh. 9 - Prob. 29SYUCh. 9 - Prob. 30SYUCh. 9 - Prob. 31SYUCh. 9 - Prob. 32SYUCh. 9 - Prob. 33SYUCh. 9 - Prob. 34SYUCh. 9 - Prob. 35SYUCh. 9 - Prob. 36SYUCh. 9 - Prob. 37SYUCh. 9 - Prob. 38SYUCh. 9 - Prob. 39SYUCh. 9 - Prob. 40SYUCh. 9 - Prob. 41SYUCh. 9 - Prob. 42SYUCh. 9 - Prob. 43SYUCh. 9 - Prob. 44SYUCh. 9 - Prob. 45SYUCh. 9 - Prob. 46SYUCh. 9 - Prob. 47SYUCh. 9 - Prob. 48SYUCh. 9 - Prob. 49SYUCh. 9 - Prob. 50SYUCh. 9 - Prob. 51SYUCh. 9 - Prob. 52SYUCh. 9 - Prob. 53SYUCh. 9 - Prob. 54SYUCh. 9 - Prob. 55SYUCh. 9 - Prob. 56SYUCh. 9 - Prob. 57SYUCh. 9 - Prob. 58SYUCh. 9 - Prob. 59SYUCh. 9 - Prob. 60SYUCh. 9 - Prob. 61SYUCh. 9 - Prob. 62SYUCh. 9 - Prob. 63SYUCh. 9 - Prob. 64SYUCh. 9 - Prob. 65SYUCh. 9 - Prob. 66SYUCh. 9 - Prob. 67SYUCh. 9 - Prob. 68SYUCh. 9 - Prob. 69SYUCh. 9 - Prob. 70SYUCh. 9 - Prob. 1FOTCh. 9 - Prob. 2FOTCh. 9 - Prob. 3FOTCh. 9 - Prob. 4FOTCh. 9 - Prob. 5FOTCh. 9 - Prob. 6FOTCh. 9 - Prob. 7FOTCh. 9 - Prob. 8FOTCh. 9 - Prob. 9FOTCh. 9 - Prob. 10FOTCh. 9 - Prob. 11FOTCh. 9 - Prob. 12FOTCh. 9 - Prob. 13FOTCh. 9 - Prob. 14FOTCh. 9 - Prob. 15FOTCh. 9 - Prob. 16FOTCh. 9 - Prob. 17FOTCh. 9 - Prob. 18FOTCh. 9 - Prob. 19FOTCh. 9 - Prob. 20FOTCh. 9 - Prob. 21FOT
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