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3-3 Writing Functions

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**Using a table to Write an Equation**

Example: Suppose Tasha baby-sits and charges $5 per hour. The amount of money Tasha earns is $5 times the number of hours she works. Write an equation using two different variables to show this relationship. Amount earned is $5 times the number of hours worked

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**Determine a relationship between the x- and y-values. Write an equation.**

Step 1: List possible relationships between the first x- and y-values. Step 2: Determine if one relationship works for the remaining values. Step 3: Write an equation.

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**Vocab Independent Variable- the input of a function**

Dependent Variable- the output of a function The value of the dependent variable depends on (is a function of) the value of the independent variable

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**Identifying Independent & Dependent Variables**

A painter must measure a room before deciding how much paint to buy. Ind: measurement of room Dep: amount of paint 2. The height of a candle decreases for every hour it burns. Ind: time Dep: height of candle 3 A veterinarian must weigh an animal before determining te amount of medication. Ind: weight of animal Dep: amount of medication

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**Vocab Function rule- An algebraic expression that defines a function**

Function Notation- f(x) If x is the independent variable and y is the dependent variable, then we use f(x) instead of y.

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Writing Functions Identify the independent and dependent variables. Write an equation in function notation for the following situations: A math tutor charges $35 per hour. A fitness center charges a $100 initiation fee plus $40 per month.

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Evaluating Functions For f(x)= 3x +2, Find f(x) when x=7 and when x= -4 For g(t)= 1.5t – 5, find g(t) when t = 6 and when t= -2 For h(r) = 1/3r +2 , find h® when r= 600 and when r = -12

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**Domain & Range of a Function**

Joe has enough money to purchase 1, 2 or 3 DVDs at #15.00 each. Write a function to describe the situation. Find the reasonable domain and range for the function.

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Warm Up Evaluate each expression for a = 2, b = –3, and c = 8. 1. a + 3c 2. ab – c 4. 4c – b 5. b a + c 26 –14 35 17.

Warm Up Evaluate each expression for a = 2, b = –3, and c = 8. 1. a + 3c 2. ab – c 4. 4c – b 5. b a + c 26 –14 35 17.

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