4 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Functions A function is a relationship that pairs one input value with exactly one output value. You can use words, tables, equations, sets of ordered pairs, and graphs to represent functions.	Patterns and Functions (Lessons 4-2 and 4-3) Linear Nonlinear	Function Notation and Sequences (Lessons 4-6 and 4-7) n A ( n ) = 3 + ( n − 1 ) ( 2 ) eh open n close equals 3 plus open n minus 1 close open 2 close A(n) 1 3 + ( 1 − 1 ) ( 2 ) 3 plus open 1 minus 1 close open 2 close 3 2 3 + ( 2 − 1 ) ( 2 ) 3 plus open 2 minus 1 close open 2 close 5 3 3 + ( 3 − 1 ) ( 2 ) 3 plus open 3 minus 1 close open 2 close 7
2 Modeling You can use functions to model real-world situations that pair one input value with a unique output value.	Using Graphs to Relate Two Quantities (Lesson 4-1) Image Long Description	Graphing a Function Rule (Lesson 4-4) Continuous Discrete Writing a Function Rule (Lesson 4-5) C = 1 4 n + 6 A = s 2 c equals , 1 fourth , n plus 6 eh equals , s squared

Chapter Vocabulary

• arithmetic sequence, p. 275
• common difference, p. 275
• continuous graph, p. 255
• dependent variable, p. 240
• discrete graph, p. 255
• domain, p. 268
• function, p. 241
• function notation, p. 269
• input, p. 240
• independent variable, p. 240
• linear function, p. 241
• nonlinear function, p. 246
• output, p. 240
• range, p. 268
• relation, p. 268
• sequence, p. 274
• term of a sequence, p. 274
• vertical line test, p. 269

Choose the correct term to complete each sentence.

1. If the value of a changes in response to the value of b, then b is the ?.
2. The graph of a(n) ? function is a nonvertical line or part of a nonvertical line.
3. A(n) ? graph consists of distinct, isolated points.
4. The ? of a function consists of the set of all output values.

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