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**Function Rules, Tables and Graphs**

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**Vocabulary Function Function Rule**

A relationship that assigns exactly one output value to each input value Function Rule The operation(s) performed on the input value

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**Vocabulary Domain Range The input values of a function (x values)**

The corresponding output values (y values)

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**Graphing Functions Step 1 Step 2 Step 3 Step 4 Step 5**

Create a table for your function. Step 2 Choose at least 3 input values for x. (-, 0, + when possible) Step 3 Evaluate the function for each input value. Step 4 Plot the points as ordered pairs. Step 5 Join the points to form a line.

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**Graphing Functions y = 2x + 1 (x, y) y = 2x + 1 x -2 2(-2) + 1 -4 + 1**

(-2, -3) 2(0) + 1 0 + 1 (0, 1) 2 2(2) + 1 4 + 1 (2, 5)

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Graph the Function y= 2x x y= 2x (x,y)

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**Graph the Function t (x,y)**

Michael Phelps swims the 400-meter individual medley at an average speed of 100 meters per minute. The equation d = 100t describes the distance d that he can swim in t minutes at this speed. Represent the function by a graph. t d = 100t (x,y)

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**Graph the Function c (x,y)**

You buy a DVD for $14 and CDs for $9 each. The equation t = c represents the total amount t that you spend if you buy 1 DVD and c CDs. Represent this function by a graph. c t = c (x,y)

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Warm-Up Exercises 1. Make a table for y = 2x + 3 with domain 0, 3, 6, and 9. 2. Write a rule for the function. ANSWER y = 3x + 1 x0369 y391521 Input, x.

Warm-Up Exercises 1. Make a table for y = 2x + 3 with domain 0, 3, 6, and 9. 2. Write a rule for the function. ANSWER y = 3x + 1 x0369 y391521 Input, x.

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