b b b b b b b b b
Blitzer
Ch.b2 FunctionsbandbGraphs
2.1 BasicsbofbFunctionsbandbTheirbGraphs
1 Findb theb Domainb andb Rangeb ofb ab Relation
MULTIPLEb CHOICE.b Chooseb theb oneb alternativeb thatb bestb completesb theb statementb orb answersb theb question.
Giveb theb domainb andb rangeb ofb theb relation.
1)b {(1,b -7),b (7,b 1),b (3,b -1),b (3,b 4)}
A) domainb=b{1,b 3,b 7};brangeb=b{-7,b -1,b 1,b 4} B)b domainb=b{-7,b -1,b 1,b 4};brangeb=b{1,b 3,b 7}
C)b domainb =b{1,b 3,b 7,b 13};b rangeb =b{-7,b -1,b 1,b 4} D)b domainb =b{1,b 3,b 7,b -3};b rangeb =b{-7,b -1,b 1,b 4}
2)b {(6,b 6),b (11,b -5),b (3,b 4),b (3,b -3)}
A)b domainb=b{6,b 3,b 11};brangeb=b{6,b 4,b -5,b -3} B)b domainb=b{6,b 3,b 11,b -3};brangeb=b{6,b 4,b -5,b -3}
C)b domainb=b{6,b 3,b 11,b 13};brangeb=b{6,b 4,b-5,b-3} D)b domainb=b{6,b 4,b -5,b -3};brangeb=b{6,b 3,b 11}
3)b {(-4,b -5),b (9,b -1),b (7,b 3),b (-3,b -3)}
A) domainb =b{9,b -3,b -4,b 7};b rangeb =b{-1,b -3,b -5,b 3}
B) domainb =b{-1,b -3,b -5,b 3};b rangeb =b{9,b -3,b -4,b 7}
C) domainb =b{9,b -3,b -4,b 7};b rangeb =b{-1,b 5,b -3,b -5,b 3}
D) domainb =b{9,b -3,b -4,b 7};b rangeb =b{-1,b -1,b -3,b -5,b 3}
4)b {(-5,b 1),b (-5,b 3),b (9,b 9),b (4,b -4),b (-1,b -1)}
A) domainb =b{4,b -5,b -1,b 9};b rangeb =b{-4,b 3,b -1,b 9,b 1}
B) domainb =b{4,b -4,b -5,b -1,b 9};b rangeb =b{-4,b 3,b -1,b 9,b 1}
C) domainb =b{4,b 14,b -5,b -1,b 9};b rangeb =b{-4,b 3,b -1,b 9,b 1}
D) domainb =b{-4,b 3,b -1,b 9,b 1};b rangeb =b{4,b 4,b -5,b -1,b 9}
5)b {(41,b -3),b (5,b -2),b (5,b 0),b (9,b 2),b (21,b 4)}
A) domain:b {41,b 9,b 5,b 21};b range:b {-3,b -2,b 0,b 2,b 4} B)b domain:b {-3,b -2,b 2,b 4};b range:b {41,b 9,b 5,b 21}
C)b domain:b {-3,b -2,b 0,b 2,b 4};b range:b {41,b 9,b 5,b 21} D)b domain:b {41,b 9,b 5,b 21};b range:b {-3,b -2,b 2,b 4}
6)b {(6,b -5),b (3,b 2),b (4,b 6),b (-1,b 3),b (-4,b 9)}
A) domainb =b{4,b -1,b 3,b 6,b -4};b rangeb =b{6,b 3,b 2,b -5,b 9}
B) domainb =b{6,b 3,b 2,b -5,b 9};b rangeb =b{4,b -1,b 3,b 6,b -4}
C) domainb =b{4,b 6,b -1,b 3,b 3};b rangeb =b{2,b 6,b -5,b -4,b 9}
D) domainb =b{2,b 6,b -5,b -4,b 9};b rangeb =b{4,b 6,b -1,b 3,b 3}
7)b {(-2,b 6),b (-1,b 3),b (0,b 2),b (1,b 3),b (3,b 11)}
A) domain:b {-2,b -1,b 0,b 1,b 3};b range:b {6,b 3,b 2,b 11} B)b domain:b {-2,b -1,b 1,b 3};b range:b {6,b 3,b 2,b 11}
C)b domain:b {6,b 3,b 2,b 11};b range:b {-2,b -1,b 0,b 1,b 3} D)b domain:b {6,b 3,b 2,b 11};b range:b {-2,b -1,b 1,b 3}
2 Determineb Whetherb ab Relationb isb ab Function
MULTIPLEb CHOICE.b Chooseb theb oneb alternativeb thatb bestb completesb theb statementb orb answersb theb question.
Determineb whetherb theb relationb isb ab function.
1)b {(-1,b -6),b (2,b -5),b (4,b 9),b (8,b -5),b (10,b 3)}
A) Function B)b Notb ab function
2)b {(-6,b 3),b (-1,b 3),b (1,b -1),b (1,b 1)}
A) Notbab function B)b Function
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b b b b b b b b b
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3)b {(-6,b 8),b (-6,b -5),b (2,b -8),b (6,b -
8),b (9,b 6)}
A) Notbab function B)b Function
4)b {(1,b -2),b (1,b -4),b (4,b -3),b (9,b -1),b (12,b 5)}
A) Notbab function B)b Function
5)b {(-5,b 4),b (-2,b 9),b (4,b 8),b (5,b 2)}
A) Function B)b Notb ab function
6)b {(-9,b 2),b (-9,b 5),b (2,b 7),b (4,b -1),b (9,b 4)}
A) Notbab function B)b Function
7)b {(-7,b -1),b (-3,b -6),b (-2,b -7),b (2,b -2)}
A) Function B)b Notb ab function
8)b {(-4,b -1),b (-3,b 7),b (2,b -8),b (2,b -9)}
A) Notbab function B)b Function
9)b {(-6,b 6),b (-1,b 2),b (2,b -3),b (5,b 5)}
A) Function B)b Notb ab function
10)b {(-3,b -8),b (3,b 6),b (5,b -5),b (7,b -6),b (10,b 6)}
A) Function B)b Notb ab function
3 Determineb Whetherb anb Equationb Representsb ab Function
MULTIPLEb CHOICE.b Chooseb theb oneb alternativeb thatb bestb completesb theb statementb orb answersb theb question.
Determineb whetherb theb equationb definesb yb asb ab functionb ofb x.
1) xb+byb=b49
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
2) 5xb+b7yb =b8
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
3) x2b+byb=b25
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
4) xb+by2b =b1
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
5) x2b +by2b =b36
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
6) y2b=b6x
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
7) xb=by2
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
8) yb=bx3
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
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b b b b b b b b b b
er
9) yb=b-b xb-b8
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
10) yb=b 6xb-b2
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
11) xb+by3b =b1
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
12) xyb +b6yb=b1
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
13) |x|b-byb=b6
A) yb isb ab functionb ofb x B)b ybisb notb ab functionb ofb x
4 Evaluateb ab Function
MULTIPLEb CHOICE.b Chooseb theb oneb alternativeb thatb bestb completesb theb statementb orb answersb theb question.
Evaluateb theb functionb atb theb givenb valueb ofb theb independentb variableb andb simplify.
1) f(x)b=b2xb+b4; f(6)
A) 16 B)b 36 C)b 8 D)b 6
2) f(x)b =bx2b -b4; f(xb +b3)
A) x2b +b6xb+b5 B)b x2b +b9 C)b x2b +b6xb+b9 D)b x2b -b1
3) f(x)b =b3x2b -b4xb +b2;b b f(xb -b1)
A) 3x2b -b10xb +b9 B)b -10x2b +b3xb +b9 C)b 3x2b -b10xb +b1 D)b 3x2b +b2xb +b1
4) g(x)b =b3xb +b1; g(xb+b1)
A) 3xb+b4 B)b3xb+b1 C)b 3xb-b1
b1
b D)b
xb+b1b3
5) h(x)b=bxb-b11b; h(15)
A) 4 B)b -26 C)b 26 D)b -4
6) f(x)b =b xb +b19; f(-3)
A) 4 B)b -4 C)b 2 D)b notb ab realb number
x2b-b3b
7) f(x)b=b ;b b f(2)
3
x -b6x
b
b1 1
b 1
b
A) -b B) C) D) -b1
8 2
4
x3b+b8b
8) f(x)b=b ;
f(5)
x2b-b4
b
B)
133
b
C)
125
b
25 21 11
b
b19 D)b
A) 7
3
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b b b b b b b b b b
er
Solveb theb problem.
9) ThebfunctionbP(x)b=b0.65xb-
b57bmodelsbthebrelationshipbbetweenbthebnumberbofbpretzelsbxbthatbabcertainbvendorbsellsbandbthebprofitbtheb
vendorbmakes.bFindbP(1000),bthebprofitbthebvendorbmakesbfrombsellingb1000bpretzels.
A) $593 B)b $650 C)b $707 D)b $943
10) Thebtotalbcostbinbdollarsbforbabcertainbcompanybtobproducebxbemptybjarsbtobbebusedbbybabjellybproducerbisb
givenbbybthebfunctionbC(x)b=b0.3xb+b27,000.bFindb C(90,000),bthebcostbofbproducingb90,000b jars.
A) $54,000 B)b $27,000 C)b $27.30 D)b $90,027
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