f f f f f f f f f
MULTIPLEfCHOICE.f Choosef thef onef alternativef thatf bestf completesf thef statementf orf answersf thef question.
Determinef thef intervalsf onf whichfthef functionf isf increasing,f decreasing,fandf constant.
1)
-10
-10
A) Increasingf onf (-∞,f -1);f Decreasingf onf (-1,f ∞)
B) Increasingf onf (-1,f ∞);f Decreasingf onf (-∞,f -1)
C) Increasingf onf (-∞,f 1);f Decreasingf onf (1,f ∞)
D) Increasingfonf(1,f∞);fDecreasingfonf(-
∞,f1)fAnswer:f B
2)
-10
-10
A) Decreasingfonf(-∞,f∞)
B) Increasingf onf (0,f ∞);f Decreasingf onf (-∞,f 0)
C) Increasingf onf (-∞,f 0);f Decreasingf onf (0,f ∞)
D) Increasingfonf(-
∞,f∞)fAnswer:f D
1
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f f f f f f f f f
3)
-10
-10
A) Increasingfonf(-∞,f4);fDecreasingfonf(-4,f∞);fConstantfonf(4,f∞)
B) Increasingf onf (4,f ∞);f Decreasingf onf (-∞,f -4);f Constantf onf (-4,f 4)
C) Increasingfonf(4,f∞);fDecreasingfonf(-4,f∞);fConstantfonf(-4,f4)
D) Increasingfonf(-∞,f4);fDecreasingfonf(-∞,f-
4);fConstantfonf(4,f∞)fAnswer:f B
4)
-2
-3
-4
-5
A) Increasingfonf(-2,f0)fandf(3,f4);fDecreasingfonf(-5,f-2)fandf(1,f3)
B) Increasingfonf(-1,f0)fandf(3,f5);fDecreasingfonf(0,f3);fConstantfonf(-5,f-3)
C) Increasingfonf(-2,f0)fandf(3,f5);fDecreasingfonf(1,f3);fConstantfonf(-5,f-2)
D) Increasingf onf(1,f3);fDecreasingfonf(-
2,f0)fandf(3,f5);fConstantfonf(2,f5)fAnswer:f C
2
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f f f f f f f f f
5)
-2
-3
-4
-5
A) Increasingf onf (-3,f -1);f Decreasingf onf (-5,f -2)f andf (2,f 4);f Constantf onf (-1,f 2)
B) Increasingfonf(-3,f1);fDecreasingfonf(-5,f-3)fandf(0,f5);fConstantfonf(1,f2)
C) Increasingfonf(-3,f0);fDecreasingfonf(-5,f-3)fandf(2,f5);fConstantfonf(0,f2)
D) Increasingfonf(-5,f-3)fandf(2,f5);fDecreasingfonf(-
3,f0);fConstantfonf(0,f2)fAnswer:f C
Determinef thef domainfandfrangef off thef function.
6)
-2
-3
-4
-5
A) domain:f [-3,f 0];f range:f [-1,f 3]
B) domain:f [-1,f 3];f range:f [-3,f 0]
C) domain:f(-∞,f3];f range:f[0,f3]
D) domain:f[0,f3];f range:f(-
∞,f3]fAnswer:f A
3
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f f f f f f f f f
7)
-1
-2
-3
-4
-5
-6
A) domain:f(-∞,f1)f ∪f (1,f∞);f range:f(-∞,f2)f ∪f (2,f∞)
B) domain:f (-∞,f ∞);f range:f (-∞,f ∞)
C) domain:f (-∞,f ∞);f range:f (-∞,f 2]
D) domain:f(-∞,f1];f range:f(-
∞,f2]fAnswer:f C
8)
-1
-2
-3
-4
-5
-6
A) domain:f[0,f∞);f range:f(-∞,f∞)
B) domain:f (-∞,f ∞);f range:f [-3,f ∞)
C) domain:f [0,f∞);f range:f [0,f∞)
D) domain:f[0,f∞);f range:f[-
3,f∞)fAnswer:f D
4
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