5.1 2 homework answer key

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• Core Connections Geometry, 2013
• Core Connections Algebra 2, 2013
• Core Connections Integrated I, 2014
• Core Connections Integrated II, 2015
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• Core Connections Integrated III, 2015

Home > CCG > Chapter 5 > Lesson 5.1.2

Lesson 5.1.1, lesson 5.1.2, lesson 5.1.3, lesson 5.1.4, lesson 5.2.1, lesson 5.2.2, lesson 5.3.1, lesson 5.3.2, lesson 5.3.3, lesson 5.3.4, lesson 5.3.5, lesson 5.closure.

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5.5: Function- Answers to the Homework Exercises

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• Page ID 45056

• Darlene Diaz
• Santiago Canyon College via ASCCC Open Educational Resources Initiative

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Introductions to Functions

• All are functions, except B. and G. because they fail the vertical line test
• domain: \((−∞, 0) ∪ (0, ∞)\); \(t\) is the independent variable, \(s(t)\) is the dependent variable
• domain: \((−∞, −1) ∪ (−1, 4) ∪ (4, ∞)\); \(x\) is the independent variable, \(f(x)\) is the dependent variable
• domain: \((−∞, \dfrac{5}{4}]\); \(x\) is the independent variable, \(f(x)\) is the dependent variable
• domain: \([16, ∞)\); \(x\) is the independent variable, \(f(x)\) is the dependent variable
• domain: \((−∞, ∞)\); \(t\) is the independent variable and its units are seconds, \(h(t)\) is the dependent variable and its units are meters
• domain: \((−∞, ∞)\); \(x\) is the independent variable and its units are the number of hearing aids, \(R(x)\) is the dependent variable and its units are dollars.
• \(g(0) = −4;\: (0, −4)\)
• \(f(−6) = −7;\: (−6, −7)\)
• \(f(10) = 13;\: (10, 13)\)
• \(w(−2) =\dfrac{9}{4};\: \left(−2,\dfrac{9}{4}\right)\)
• \(p(4) = −60;\: (4, −60)\)
• \(g(2) = −\dfrac{3}{25};\: \left(2, −\dfrac{3}{25}\right)\)
• \(f(10) = 7;\: (10.7)\)
• \(w(−5) = 5;\: (−5, 5)\)
• \(p(5) = −4;\: (5, −4)\)
• \(k(2) = −32;\: (2, −32)\)
• \(−64x^3 + 2\)
• \(2| − 3t^2 − 1| + 2\)
• \(5^{−3−x}\)
• \(3 · 2^{a/4+3}\)
• \(t^4+t^2\)

Linear Functions

• \(f(x)=\dfrac{1}{5}x+\dfrac{7}{5}\)
• \(1.85\); dollars per mile
• \(50\); dollars
• \(C(x)=1.85x+50\)

• \(E(t)=360t\)
• \(C(t)=80t+50\), where \(0<t\leq 8\)
• \(C(p) = 0.035p + 1.50\); it costs \($0.035\) per page to print; the fixed costs are \($1.50\) per book whether pages are printed or not

Algebra of Functions

• \(\dfrac{1}{5}\)
• \(-x^3-4x-2\)
• \(4x^3+25x^2+25x\)
• \(-x^3+2x^2-3\)
• \(t^4+8t^2+2\)
• \(\dfrac{32+23n-n^3}{8}\)
• \(16x^2+12x-4\)
• \(27t^3-108t^2+141t-60\)

Library of Functions

• \(A ↔ i\); \(B ↔ h\); \(C ↔ d\); \(D ↔ b\); \(E ↔ a\); \(F ↔ g\); \(G ↔ f\); \(H ↔ c\); \(I ↔ e\)
• \(A ↔ g\); \(B ↔ d\); \(C ↔ f\); \(D ↔ c\); \(E ↔ e\); \(F ↔ i\); \(G ↔ a\); \(H ↔ h\); \(I ↔ b\)
• \(A, B, C, D, G, H, I → (−∞, ∞)\), \(E → (−∞, 0) ∪ (0, ∞)\), \(F → (0, ∞)\)