Represent Functions As Graphs. Vocabulary Function-A rule that establishes a relationship between...
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Transcript of Represent Functions As Graphs. Vocabulary Function-A rule that establishes a relationship between...
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
Output y
1 2 3 4 5
Graph y = x + 1
• Ordered pairs (1,2)(2,3)(3,4)(4,5)(5,6)Y axis
X axis61 2 3 4 5
1
2
3
4
6
5
Graph a Function y = ½ x
• Domain (input x) {0, 2,4,6,8}
Input x
Output y
0 2 4 6 8
Graph y = ½ x
• Ordered pairs: (0,0) (2,1) (4,2) (6,3) (8,4)Y axis
X axis
00
1
2
3
4
5
1 2 3 4 5 6 7 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
Output y
1
2
2
3
3
4
4
5
5
6
The Rule for the Function y=x + 1
• Ordered pairs: (1,2) (2,3) (3,4) (4,5) (5,6)
Y axis
X axis
1
2
3
4
5
6
0 1 2 3 4 5 6
Write a Function Rule
• Domain (input x) {0,1,4,6,10}
• Range (output y) {2,3,6,8,12}
Input x
Output y
0 1 4 610
2 3 6 8 12
Rule for the Function y = x + 2
• Ordered pairs: (0,2) (1,3) (4,6) (6,8)(10,12)
Y axis
X axis0 1 2 3 4 5 6 7 8 9 10
1
2
34567
89
1011
12
Questions/Practice
• Questions:
Plots and Functions
Chiquana
Daniel
Dylan
Frank
Isabella
Jonathan
Kiara
Forearm inches X Height inches y
Plot the points
• Y axis forearm length
X axis height
0