Aim #45: How do we write
function rules given a table of values?
(Unit 5 - Functions)
12-6-16
HW #45: Function Tables Handout
Do Now: State whether each equation is linear or
nonlinear. If nonlinear, describe the graph.
1) y - 4x = 12
2
2) y = 3x + 2
3) y = 4
2
2
4) x + y = 64
5) x = -7
x
6) y = 3
7) y = x + 9
y
x
y
x
y
x
y
x
Function Tables
A function rule is a rule where there is a consistent pattern
between variables.
GUESS MY RULE !
Write the function rule for y in terms of x.
1)
x
y
Rule:
3)
x
Rule:
x
y
x
y
x
y
Rule:
y
Rule:
5)
2)
4)
Rule:
x
y
6)
Rule:
Write the function rule for y in terms of x.
Ex. #1: x
y
-2 5
1 8
5 12
8 15
*If there is a constant rate of change, then the equation will be linear.
Ex. #2:
x
-1
0
1
2
y
3
8
13
18
Helpful Hint: If the x values increase by 1 and there is a consistent
pattern in the y column (each y value changes by the same amount from
top to bottom of the table), then the equation is linear and the pattern
in the y column is the slope.
Ex. #3:
x
1
2
3
4
y
7
5
3
1
Ex. #4:
x
1
2
3
4
y
2
5
10
17
*If there is no constant rate of change, then the equation will be
nonlinear.
Ex. #5:
x
y
3 -9
5 -13
7 -17
9 -21
Ex. #6:
x
1
2
3
4
5
Ex. #7:
x
y
-5 29
-1 5
2 -13
6 -37
y
-2
1
6
13
22
Attachments
FUNCTIONS.ppt