Represent Functions As Graphs

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.

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

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

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

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

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

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

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

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

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

Questions/Practice Questions:

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

Plot the points Y axis forearm length X axis height