Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter 7, Problem 12VC
To determine
To fill each blank with one of the words or phrases from the list.
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not use ai please
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).…
Chapter 7 Solutions
Path To College Mathematics
Ch. 7.1 - Prob. 1ESCh. 7.1 - Prob. 2ESCh. 7.1 - Prob. 3ESCh. 7.1 - Prob. 4ESCh. 7.1 - Prob. 5ESCh. 7.1 - Prob. 6ESCh. 7.1 - Prob. 7ESCh. 7.1 - Prob. 8ESCh. 7.1 - Prob. 9ESCh. 7.1 - Prob. 10ES
Ch. 7.1 - Prob. 11ESCh. 7.1 - Prob. 12ESCh. 7.1 - Prob. 13ESCh. 7.1 - Prob. 14ESCh. 7.1 - Prob. 15ESCh. 7.1 - Prob. 16ESCh. 7.1 - Prob. 17ESCh. 7.1 - Prob. 18ESCh. 7.1 - Prob. 19ESCh. 7.1 - Suppose a 6-sided die is tossed twice. (This is a...Ch. 7.1 - Prob. 21ESCh. 7.1 - Prob. 22ESCh. 7.1 - Prob. 23ESCh. 7.1 - Prob. 24ESCh. 7.1 - Solve. Current license plates in California now...Ch. 7.1 - Prob. 26ESCh. 7.1 - Although there are exceptions, the call signs for...Ch. 7.1 - Prob. 28ESCh. 7.1 - Prob. 29ESCh. 7.1 - Prob. 30ESCh. 7.1 - Prob. 31ESCh. 7.1 - Prob. 32ESCh. 7.1 - Prob. 33ESCh. 7.1 - Prob. 34ESCh. 7.1 - Prob. 35ESCh. 7.1 - Prob. 36ESCh. 7.1 - Prob. 37ESCh. 7.1 - Prob. 38ESCh. 7.1 - Prob. 39ESCh. 7.1 - Prob. 40ESCh. 7.1 - Prob. 41ESCh. 7.1 - For security purpose, a company is starting to...Ch. 7.2 - Prob. 1ESCh. 7.2 - Prob. 2ESCh. 7.2 - Prob. 3ESCh. 7.2 - Prob. 4ESCh. 7.2 - Prob. 5ESCh. 7.2 - Prob. 6ESCh. 7.2 - Prob. 7ESCh. 7.2 - Prob. 8ESCh. 7.2 - Prob. 9ESCh. 7.2 - Prob. 10ESCh. 7.2 - Prob. 11ESCh. 7.2 - Prob. 12ESCh. 7.2 - Prob. 13ESCh. 7.2 - Prob. 14ESCh. 7.2 - Prob. 15ESCh. 7.2 - Prob. 16ESCh. 7.2 - Prob. 17ESCh. 7.2 - Prob. 18ESCh. 7.2 - Prob. 19ESCh. 7.2 - Prob. 20ESCh. 7.2 - Prob. 21ESCh. 7.2 - Prob. 22ESCh. 7.2 - Prob. 23ESCh. 7.2 - Prob. 24ESCh. 7.2 - Prob. 25ESCh. 7.2 - Prob. 26ESCh. 7.2 - Prob. 27ESCh. 7.2 - Prob. 28ESCh. 7.2 - Prob. 29ESCh. 7.2 - Prob. 30ESCh. 7.2 - Prob. 31ESCh. 7.2 - Prob. 32ESCh. 7.2 - Prob. 33ESCh. 7.2 - Prob. 34ESCh. 7.2 - Prob. 35ESCh. 7.2 - Prob. 36ESCh. 7.2 - Prob. 37ESCh. 7.2 - Prob. 38ESCh. 7.2 - Prob. 39ESCh. 7.2 - Prob. 40ESCh. 7.2 - Solve. Some of these exercises may be solved using...Ch. 7.2 - Prob. 42ESCh. 7.2 - Prob. 43ESCh. 7.2 - Prob. 44ESCh. 7.2 - Prob. 45ESCh. 7.2 - Prob. 46ESCh. 7.2 - Prob. 47ESCh. 7.2 - Prob. 48ESCh. 7.2 - Prob. 49ESCh. 7.2 - Prob. 50ESCh. 7.2 - Prob. 51ESCh. 7.2 - Prob. 52ESCh. 7.2 - Prob. 53ESCh. 7.2 - Prob. 54ESCh. 7.2 - Prob. 55ESCh. 7.2 - Prob. 56ESCh. 7.2 - Prob. 57ESCh. 7.2 - Prob. 58ESCh. 7.2 - Prob. 59ESCh. 7.2 - Prob. 60ESCh. 7.2 - Is it possible to evaluate P65 Explain why or why...Ch. 7.2 - Prob. 62ESCh. 7.2 - Prob. 63ESCh. 7.2 - Prob. 64ESCh. 7.2 - Explain why P55 can be calculated but is not...Ch. 7.2 - Prob. 66ESCh. 7.2 - Prob. 67ESCh. 7.2 - Prob. 68ESCh. 7.3 - Prob. 1ESCh. 7.3 - Evaluate each combination. See Examples 2 through...Ch. 7.3 - Prob. 3ESCh. 7.3 - Prob. 4ESCh. 7.3 - Prob. 5ESCh. 7.3 - Prob. 6ESCh. 7.3 - Prob. 7ESCh. 7.3 - Prob. 8ESCh. 7.3 - Prob. 9ESCh. 7.3 - Prob. 10ESCh. 7.3 - Prob. 11ESCh. 7.3 - Prob. 12ESCh. 7.3 - Prob. 13ESCh. 7.3 - Prob. 14ESCh. 7.3 - Prob. 15ESCh. 7.3 - Prob. 16ESCh. 7.3 - Prob. 17ESCh. 7.3 - Prob. 18ESCh. 7.3 - Prob. 19ESCh. 7.3 - Prob. 20ESCh. 7.3 - Prob. 21ESCh. 7.3 - Prob. 22ESCh. 7.3 - Prob. 23ESCh. 7.3 - Prob. 24ESCh. 7.3 - Prob. 25ESCh. 7.3 - Prob. 26ESCh. 7.3 - Prob. 27ESCh. 7.3 - Prob. 28ESCh. 7.3 - Prob. 29ESCh. 7.3 - Prob. 30ESCh. 7.3 - Prob. 31ESCh. 7.3 - Prob. 32ESCh. 7.3 - Prob. 33ESCh. 7.3 - Prob. 34ESCh. 7.3 - Prob. 35ESCh. 7.3 - Prob. 36ESCh. 7.3 - Prob. 37ESCh. 7.3 - Prob. 38ESCh. 7.3 - Prob. 39ESCh. 7.3 - Prob. 40ESCh. 7.3 - Prob. 41ESCh. 7.3 - Prob. 42ESCh. 7.3 - Prob. 43ESCh. 7.3 - Prob. 44ESCh. 7.3 - Prob. 45ESCh. 7.3 - Prob. 46ESCh. 7.3 - Prob. 47ESCh. 7.3 - Prob. 48ESCh. 7.3 - Prob. 49ESCh. 7.3 - Prob. 50ESCh. 7.3 - Prob. 51ESCh. 7.3 - Prob. 52ESCh. 7.3 - Prob. 53ESCh. 7.3 - Prob. 54ESCh. 7.3 - Prob. 55ESCh. 7.3 - Prob. 56ESCh. 7.3 - Prob. 57ESCh. 7.3 - Prob. 58ESCh. 7.3 - Prob. 59ESCh. 7.3 - Prob. 60ESCh. 7.3 - Prob. 61ESCh. 7.3 - Prob. 62ESCh. 7.3 - Prob. 63ESCh. 7.3 - Prob. 64ESCh. 7.3 - Prob. 65ESCh. 7.3 - Prob. 66ESCh. 7.3 - Prob. 67ESCh. 7.3 - Prob. 1IRCh. 7.3 - Prob. 2IRCh. 7.3 - Prob. 3IRCh. 7.3 - Prob. 4IRCh. 7.3 - Prob. 5IRCh. 7.3 - Prob. 6IRCh. 7.3 - Prob. 7IRCh. 7.3 - Prob. 8IRCh. 7.3 - Prob. 9IRCh. 7.3 - Prob. 10IRCh. 7.3 - Prob. 11IRCh. 7.3 - Prob. 12IRCh. 7.3 - Prob. 13IRCh. 7.3 - Prob. 14IRCh. 7.3 - Prob. 15IRCh. 7.4 - Prob. 1ESCh. 7.4 - Prob. 2ESCh. 7.4 - Prob. 3ESCh. 7.4 - Prob. 4ESCh. 7.4 - Prob. 5ESCh. 7.4 - Prob. 6ESCh. 7.4 - Prob. 7ESCh. 7.4 - Prob. 8ESCh. 7.4 - Prob. 9ESCh. 7.4 - Prob. 10ESCh. 7.4 - Prob. 11ESCh. 7.4 - Prob. 12ESCh. 7.4 - Prob. 13ESCh. 7.4 - Prob. 14ESCh. 7.4 - Prob. 15ESCh. 7.4 - Prob. 16ESCh. 7.4 - Prob. 17ESCh. 7.4 - Prob. 18ESCh. 7.4 - Prob. 19ESCh. 7.4 - Prob. 20ESCh. 7.4 - Prob. 21ESCh. 7.4 - Prob. 22ESCh. 7.4 - Prob. 23ESCh. 7.4 - Prob. 24ESCh. 7.4 - Prob. 25ESCh. 7.4 - Prob. 26ESCh. 7.4 - Prob. 27ESCh. 7.4 - Prob. 28ESCh. 7.4 - Prob. 29ESCh. 7.4 - Prob. 30ESCh. 7.4 - Prob. 31ESCh. 7.4 - Prob. 32ESCh. 7.4 - Prob. 33ESCh. 7.4 - Prob. 34ESCh. 7.4 - Prob. 35ESCh. 7.4 - Prob. 36ESCh. 7.4 - Prob. 37ESCh. 7.4 - Prob. 38ESCh. 7.4 - Prob. 39ESCh. 7.4 - Prob. 40ESCh. 7.4 - Prob. 41ESCh. 7.4 - Prob. 42ESCh. 7.4 - Prob. 43ESCh. 7.4 - Prob. 44ESCh. 7.4 - Prob. 45ESCh. 7.4 - Prob. 46ESCh. 7.4 - Prob. 47ESCh. 7.4 - Prob. 48ESCh. 7.4 - Prob. 49ESCh. 7.4 - Prob. 50ESCh. 7.4 - Prob. 51ESCh. 7.4 - Prob. 52ESCh. 7.4 - Prob. 53ESCh. 7.4 - Prob. 54ESCh. 7.4 - Prob. 55ESCh. 7.4 - Prob. 56ESCh. 7.4 - Prob. 57ESCh. 7.4 - Prob. 58ESCh. 7.4 - Prob. 59ESCh. 7.4 - Prob. 60ESCh. 7.4 - Prob. 61ESCh. 7.4 - Prob. 62ESCh. 7.4 - Prob. 63ESCh. 7.4 - Prob. 64ESCh. 7.4 - Prob. 65ESCh. 7.4 - Prob. 66ESCh. 7.4 - Prob. 67ESCh. 7.4 - Prob. 68ESCh. 7.4 - Prob. 69ESCh. 7.4 - Prob. 70ESCh. 7.4 - Prob. 71ESCh. 7.4 - Prob. 72ESCh. 7.4 - Prob. 73ESCh. 7 - Prob. 1VCCh. 7 - Prob. 2VCCh. 7 - Prob. 3VCCh. 7 - Prob. 4VCCh. 7 - Prob. 5VCCh. 7 - Prob. 6VCCh. 7 - Prob. 7VCCh. 7 - Prob. 8VCCh. 7 - Prob. 9VCCh. 7 - Prob. 10VCCh. 7 - Prob. 11VCCh. 7 - Prob. 12VCCh. 7 - Prob. 13VCCh. 7 - Prob. 14VCCh. 7 - Prob. 15VCCh. 7 - Prob. 16VCCh. 7 - Prob. 17VCCh. 7 - Prob. 18VCCh. 7 - Prob. 19VCCh. 7 - Prob. 20VCCh. 7 - Prob. 21VCCh. 7 - Prob. 1RCh. 7 - Draw a tree diagram for each experiment. Then use...Ch. 7 - Prob. 3RCh. 7 - Prob. 4RCh. 7 - Prob. 5RCh. 7 - Prob. 6RCh. 7 - Prob. 7RCh. 7 - Prob. 8RCh. 7 - Prob. 9RCh. 7 - Prob. 10RCh. 7 - Prob. 11RCh. 7 - Prob. 12RCh. 7 - Prob. 13RCh. 7 - Prob. 14RCh. 7 - Prob. 15RCh. 7 - Prob. 16RCh. 7 - Prob. 17RCh. 7 - Prob. 18RCh. 7 - Prob. 19RCh. 7 - Prob. 20RCh. 7 - Prob. 21RCh. 7 - Prob. 22RCh. 7 - Prob. 23RCh. 7 - Prob. 24RCh. 7 - Prob. 25RCh. 7 - Prob. 26RCh. 7 - Prob. 27RCh. 7 - Prob. 28RCh. 7 - Prob. 29RCh. 7 - Prob. 30RCh. 7 - Prob. 31RCh. 7 - Prob. 32RCh. 7 - Prob. 33RCh. 7 - Prob. 34RCh. 7 - Prob. 35RCh. 7 - Prob. 36RCh. 7 - Prob. 37RCh. 7 - Prob. 38RCh. 7 - Prob. 39RCh. 7 - Prob. 40RCh. 7 - Prob. 41RCh. 7 - Prob. 42RCh. 7 - Prob. 43RCh. 7 - Prob. 44RCh. 7 - Prob. 45RCh. 7 - Prob. 46RCh. 7 - Prob. 47RCh. 7 - Prob. 48RCh. 7 - Prob. 49RCh. 7 - Prob. 50RCh. 7 - Prob. 51RCh. 7 - Prob. 52RCh. 7 - Prob. 53RCh. 7 - Prob. 54RCh. 7 - Prob. 55RCh. 7 - Prob. 56RCh. 7 - Prob. 57RCh. 7 - Prob. 58RCh. 7 - Prob. 59RCh. 7 - Prob. 60RCh. 7 - Prob. 61RCh. 7 - Prob. 62RCh. 7 - Prob. 63RCh. 7 - Prob. 64RCh. 7 - Prob. 65RCh. 7 - Prob. 66RCh. 7 - Prob. 67RCh. 7 - Prob. 68RCh. 7 - Prob. 69RCh. 7 - Prob. 70RCh. 7 - Prob. 71RCh. 7 - Prob. 72RCh. 7 - Prob. 73RCh. 7 - Prob. 74RCh. 7 - Prob. 1GRFTCh. 7 - Prob. 2GRFTCh. 7 - Prob. 3GRFTCh. 7 - Prob. 4GRFTCh. 7 - Prob. 5GRFTCh. 7 - Prob. 6GRFTCh. 7 - Prob. 7GRFTCh. 7 - Prob. 8GRFTCh. 7 - Prob. 9GRFTCh. 7 - Prob. 10GRFTCh. 7 - Prob. 11GRFTCh. 7 - Prob. 12GRFTCh. 7 - Prob. 13GRFTCh. 7 - Prob. 14GRFTCh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Prob. 24TCh. 7 - Prob. 25TCh. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Prob. 30TCh. 7 - Prob. 31TCh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - The Swiss Re Building, in London, is a unique...Ch. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CR
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