# PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise.

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PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise functions. To understand the difference quotient.

1. 2. ANSWERS State the domain 3. Simplify

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DOMAIN (RECALL) domain of a function is the values of the independent variables.

FUNCTION F(X) = Y A function is a relationship between two variables such that each value of the first variable is paired with exactly one value of the second variable.

Evaluate: a)f(3) b)f(-2) c)f( )

PIECEWISE FUNCTION A piecewise function is defined by different formulas on different parts of the domain.

Ex 2. A cell phone plan costs \$39 a month. The plan includes 400 free minutes and charges 20¢ for each additional minute. The monthly charges are a function of the number of minutes used, given by Find C(100), C(400), and C(480)

a) f(-5) b) f(3) c) f(0) d) f(1)

Ex 4. Evaluate f(x) = 3x – 1 at the following values. a) f(a) b) f(a + h) c)

Classwork: Book: pg.155, 14,24,34,44,54,66

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