MULTIPLEgCHOICE.g Chooseg theg oneg alternativeg thatg bestg completesg theg statementg org answersg theg question.
Determineg theg intervalsg ong whichg theg functiong isg increasing,g decreasing,gandg constant.
1)
-10
-10
A) Increasingg ong (-∞,g -1);g Decreasingg ong (-1,g ∞)
B) Increasingg ong (-1,g ∞);g Decreasingg ong (-∞,g -1)
C) Increasingg ong (-∞,g 1);g Decreasingg ong (1,g ∞)
D) Increasinggong(1,g∞);gDecreasinggong(-
∞,g1)gAnswer:g B
2)
-10
-10
A) Decreasinggong(-∞,g∞)
B) Increasingg ong (0,g ∞);g Decreasingg ong (-∞,g 0)
C) Increasingg ong (-∞,g 0);g Decreasingg ong (0,g ∞)
D) Increasinggong(-
∞,g∞)gAnswer:g D
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3)
-10
-10
A) Increasinggong(-∞,g4);gDecreasinggong(-4,g∞);gConstantgong(4,g∞)
B) Increasingg ong (4,g ∞);g Decreasingg ong (-∞,g -4);g Constantg ong (-4,g 4)
C) Increasinggong(4,g∞);gDecreasinggong(-4,g∞);gConstantgong(-4,g4)
D) Increasinggong(-∞,g4);gDecreasinggong(-∞,g-
4);gConstantgong(4,g∞)gAnswer:g B
4)
-2
-3
-4
-5
A) Increasinggong(-2,g0)gandg(3,g4);gDecreasinggong(-5,g-2)gandg(1,g3)
B) Increasinggong(-1,g0)gandg(3,g5);gDecreasinggong(0,g3);gConstantgong(-5,g-3)
C) Increasinggong(-2,g0)gandg(3,g5);gDecreasinggong(1,g3);gConstantgong(-5,g-2)
D) Increasingg ong(1,g3);gDecreasinggong(-
2,g0)gandg(3,g5);gConstantgong(2,g5)gAnswer:g C
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5)
-2
-3
-4
-5
A) Increasingg ong (-3,g -1);g Decreasingg ong (-5,g -2)g andg (2,g 4);g Constantg ong (-1,g 2)
B) Increasinggong(-3,g1);gDecreasinggong(-5,g-3)gandg(0,g5);gConstantgong(1,g2)
C) Increasinggong(-3,g0);gDecreasinggong(-5,g-3)gandg(2,g5);gConstantgong(0,g2)
D) Increasinggong(-5,g-3)gandg(2,g5);gDecreasinggong(-
3,g0);gConstantgong(0,g2)gAnswer:g C
Determineg theg domaingandgrangeg ofg theg function.
6)
-2
-3
-4
-5
A) domain:g [-3,g 0];g range:g [-1,g 3]
B) domain:g [-1,g 3];g range:g [-3,g 0]
C) domain:g(-∞,g3];g range:g[0,g3]
D) domain:g[0,g3];g range:g(-
∞,g3]gAnswer:g A
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7)
-1
-2
-3
-4
-5
-6
A) domain:g(-∞,g1)g ∪g (1,g∞);g range:g(-∞,g2)g ∪g (2,g∞)
B) domain:g (-∞,g ∞);g range:g (-∞,g ∞)
C) domain:g (-∞,g ∞);g range:g (-∞,g 2]
D) domain:g(-∞,g1];g range:g(-
∞, g2]gAnswer: g C
8)
-1
-2
-3
-4
-5
-6
A) domain:g[0,g∞);g range:g(-∞,g∞)
B) domain:g (-∞,g ∞);g range:g [-3,g ∞)
C) domain:g [0,g∞);g range:g [0,g∞)
D) domain:g[0,g∞);g range:g[-
3,g∞)gAnswer:g D
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