1. Objective – To use tables to represent functions.
A relation is a if for each input there is EXACTLY one output.
function
Input-Output Table
(Function Table)
Input and Output can also be written as an ordered pair.
Input (X)
Output (Y) 3 1 6 2 9 12
(X , Y)
(Input, Output)
(0, 3)
(1, 6)
(2, 9)
(3, 12)
Input
Output

2. A rule or equation where there is
exactly one output for every input.
Function -
For every
x-value there is exactly one y-value. x -1 1 2 4 y -2 2 4 6 x -1 1 2 4 y 2 4 6 x 1 2 4 y -2 2 4 6
No x-
value
repeats
No x-
value
repeats
x-value
repeats -1 1 -2 2 2 1
Yes, it is a
function
Yes, it is a
function
No, it is not
a function

3. Determine whether the relation is a function:
Input 9 25 5 3 -5 -3 2
1. (0, 2) (1, 4) (2, 6) (3, 8) 2.
Output
YES
Each input has exactly one output!!! NO
Both 9 and 25 has two different outputs! 9 25 5 2 3 -5 -3 5

4. Determine whether the relation is a function:
3. (-2, 4) (2, 4) (4, 2) (-2, -4)
4. (4, 5) (2, -3) (4, 9) (-2, -3) NO NO 5. 6.
Input (X)
Output (Y) -2 3 8 13
Input (X)
Output (Y) 1 -5 2
-10 3
-15
YES
YES

5. Complete the table using the following function rule:
INPUT
OUTPUT
Mr. PAL
Function Rule
Complete the table using the following function rule:
2x + 5 = y
Input
Output 1 2 3
2(0) + 5 = 5
2(1) + 5 = 7
2(2) + 5 = 9
2(3) + 5 = 11

6. Complete the table using the following function rule:
1. y = 2x + 3
2. y = -4x + 5
Input
Output 1 2 3
Input
Output 1 2 3
2(0) + 3 = 3
-4(0) + 5 = 5
2(1) + 3 = 5
-4(1) + 5 = 1 -3
2(2) + 3 = 7
-4(2) + 5 = 9 -7
2(3) + 3 =
-4(3) + 5 =

7. Input Output 1 2 3 Input Output -1 -2 -3 -3 -1 -7 4 -11 9 14 -15
3. y = 5x - 1
4. y = 4x - 3
Input
Output 1 2 3
Input
Output -1 -2 -3 -3 -1
4(0) - 3 =
5(0) - 1 = -7
5(1) - 1 = 4
4(-1) - 3 =
-11
5(2) - 1 = 9
4(-2) - 3 =
5(3) - 1 = 14
4(-3) - 3 =
-15

8. Objective - To graph linear equations.
Graph y = 3x - 4. y x x
y = 3x - 4 -3
3(-3) - 4
= -13 -2
3(-2) - 4
= -10 -1
3(-1) - 4
= -7
3(0) - 4
= -4 1
3(1) - 4
= -1
This line represents
all the solutions to
y = 3x - 4 2
3(2) - 4
= 2 3
3(3) - 4
= 5