Warm-Up 1/27 Evaluate each expression given the value of the variable. 1.3y – 4, y = 2 2.2b + 7, b = – 3 2 1.

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Warm-Up 1/27 Evaluate each expression given the value of the variable. 1.3y – 4, y = 2 2.2b + 7, b = – 3 2 1

Rigor: You will learn how to identify and evaluate functions and state their domains. Relevance: You will be able to use functions to solve real world problems.

1-1 Functions

Real Numbers IrrationalRational Integers Wholes Naturals

Set-builder Notation

Example 1: Describe the set of numbers using set-builder notation. a.(8,9,10, 11, …) b. x < 7 c.all multiples of three

Interval Notation

Represents y as a function of x. xy – 8– 5 – 4 0– 3 3– 2 6– 3 Represents y as a function of x. Does not represents y as a function of x.

Example 4: If g(x) = x 2 + 8x – 24, find each function value. a. g(6) b. g(– 4x) c. g(5c + 4) g(6) = (6) 2 + 8(6) – 24 g(6) = – 24 g(6) = 60 g(– 4x) = (– 4x) 2 + 8(– 4x) – 24 g(– 4x) = 16x 2 – 32x – 24 g(5c + 4) = (5c + 4) 2 + 8(5c + 4) – 24 g(5c + 4) = 25c c c + 32 – 24 g(5c + 4) = 25c c + 24

math! 1-1 Assignment: TX p9-10, 4-52 EOE