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Core Connections Algebra 2, 2013
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Core Connections Algebra 2, 2013 View details
2. Section 3.2
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Exercise 109 Page 154

Practice makes perfect
a To find f(-2), we have to substitute x=-2 into f(x)=3x-9 and evaluate.
f(x)=3x-9
Substitute

x= -2

f( -2)=3( -2)-9
MultPosNeg

a(- b)=- a * b

f(-2)=-6-9
SubTerm

Subtract term

f(-2)=-15
b To find g(-2), we have to substitute x=-2 into g(x)=- x^2 and evaluate.
g(x)=- x^2
Substitute

x= -2

g( -2)=-( -2)^2
CalcPow

Calculate power

g(-2)=-(4)
RemovePar

Remove parentheses

g(-2)=-4
c This time we are given the value and asked to find x when it equals 0. To find it, we will substitute f(x)=0 into the given rule and solve for x.
f(x)=3x-9
Substitute

f(x)= 0

0=3x-9
AddEqn

LHS+9=RHS+9

9=3x
DivEqn

.LHS /3.=.RHS /3.

3=x
RearrangeEqn

Rearrange equation

x=3
When x=3, the value of the function f(x) equals 0.
d To find g(m), we will substitute x=m in g(x)=- x^2 and evaluate.
g(x)=- x^2
Substitute

x= m

g( m)=- m^2
Subchapter links expand_more
arrow_right 3.2.1 Investigating Rational Functions p.140-141
63
64
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67
68
Investigating Rational Functions 69 (Page 141)
arrow_right 3.2.2 Simplifying Rational Expressions p.145-146
Simplifying Rational Expressions 78 (Page 145)
Simplifying Rational Expressions 79 (Page 145)
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Simplifying Rational Expressions 81 (Page 145)
Simplifying Rational Expressions 82 (Page 146)
Simplifying Rational Expressions 83 (Page 146)
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arrow_right 3.2.3 Multiplying and Dividing Rational Expressions p.148-149
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Multiplying and Dividing Rational Expressions 92 (Page 148)
Multiplying and Dividing Rational Expressions 93 (Page 149)
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Multiplying and Dividing Rational Expressions 96 (Page 149)
arrow_right 3.2.4 Adding and Subtracting Rational Expressions p.153-154
Adding and Subtracting Rational Expressions 102 (Page 153)
103
Adding and Subtracting Rational Expressions 104 (Page 153)
Adding and Subtracting Rational Expressions 105 (Page 153)
Adding and Subtracting Rational Expressions 106 (Page 153)
Adding and Subtracting Rational Expressions 107 (Page 154)
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Adding and Subtracting Rational Expressions 109 (Page 154)
arrow_right 3.2.5 Creating New Functions p.157-159
Creating New Functions 113 (Page 157)
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Creating New Functions 115 (Page 158)
Creating New Functions 116 (Page 158)
Creating New Functions 117 (Page 158)
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Creating New Functions 119 (Page 158)
Creating New Functions 120 (Page 159)
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Creating New Functions 123 (Page 159)
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Creating New Functions 126 (Page 159)