1. Represent Functions
As Graphs

2. Vocabulary
Function-A rule that establishes a relationship between two quantities, called the input and the output.
Ordered pair- Each pair of input and output values.
Point-An ordered pair of numbers that can be plotted on a graph.

3. Vocabulary Input- is the x coordinate. Output- is the y coordinate.
(y axis, Vertical)
(x axis, Horizontal)

4. Graph a Function y = x + 1 Domain (input x) {1,2,3,4,5} Input x 1 2 3
Output y

5. Graph y = x + 1 Ordered pairs (1,2)(2,3)(3,4)(4,5)(5,6) Y axis 6 5 4 3
X axis

6. Graph a Function y = ½ x Domain (input x) {0, 2,4,6,8} Input x 2 4 6 82 4 6 8
Output y

7. Graph y = ½ x Ordered pairs: (0,0) (2,1) (4,2) (6,3) (8,4) Y axis 5 41 2 3 4 5 6 7 8
X axis

8. Write a Function Rule Step one: Make a table
Step two: Find the relationship between input and output
Step three: Write a function rule
Input x 1 2 3 4 5
Output y 3 4 6 2 5

9. The Rule for the Function y=x + 1
Ordered pairs: (1,2) (2,3) (3,4) (4,5) (5,6) 6
Y axis 5 4 3 2 1 1 2 3 4 5 6
X axis

10. Write a Function Rule Domain (input x) {0,1,4,6,10}
Range (output y) {2,3,6,8,12} 6
Input x 1 4 10
Output y 3 2 6 8 12

11. Rule for the Function y = x + 2
Ordered pairs: (0,2) (1,3) (4,6) (6,8)(10,12) 12 11
Y axis 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10
X axis

12. Questions/Practice
Questions:

13. Plots and Functions Forearm inches X Height inches y Chiquana Daniel
Dylan
Frank
Isabella
Jonathan
Kiara

14. Plot the points
Y axis forearm length
X axis height