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Name _______________________________________ Date __________________ Class __________________
Graphs and Functions
Challenge: What’s My Rule?
Sometimes you are given a set of ordered pairs and need to find a
function rule that describes how to get the outputs from the inputs.
Example
Write a function rule for the ordered pairs in the table.
x
y
To get each y–value, double the corresponding
x–value and then add 1.
3
5
6
8
7
11
13
17
The rule is y  2x 1
Check the rule by making sure each input (x-value) n the table gives the
corresponding output (y-value).
2(3) 1 7

2(5) 1 11

2(6) 1 13

2(8) 1 17

Write a function rule for the ordered pairs in each table.
1.
4.
5
6
0
2
8
11
5
9
1
2
4
7
y
–2
–1
3
7
–10
–5
15
35
5.
y
–3
0
1
4
–7
–1
1
7
_________________
8.
y
0
4
–1
0
–9
–8
10
18
4
10
–4
2
Rule: __________________
__________________
y
1
2
3
4
5
7
9
11
6.
y
–1
2
6
9
–1
2
6
9
__________________
x
y
0
2
5
9
1
7
16
28
Rule: __________________
__________________
x
Rule:
3.
x
x
Rule:
_________________
x
Rule:
Rule:
_________________
x
Rule:
7.
y
y
Rule:
2.
x
x
9.
x
y
–2
2
3
5
4
4
9
25
Rule: __________________
Holt McDougal Mathematics
Name _______________________________________ Date __________________ Class __________________
Challenge
1.
2.
3.
4.
5.
6.
7.
8.
9.
y=x+4
y = 2x
y=x–8
y = 5x
y = 2x + 3
y = 3x + 1
y = 2x – 1
y=x
y = x²
Holt McDougal Mathematics