1. Function Rules, Tables and Graphs

2. 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

3. Vocabulary Domain Range The input values of a function (x values)
The corresponding output values (y values)

4. 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.

5. 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)

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

7. 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)

8. 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)