2. You should be able to:
1. Determine an
algebraic expression for
a situation.
2. Create a function
table
3. Plot points on a
coordinate plane

3. Step 1: To graph a function, use a function table to determine your coordinate points.
Input
Output
1
2
3
4
2
4
6
8
(1,
(2,
(3,
(4,
2)
4)
6)
8)

4. Step 2: Plot the points on a coordinate plane.
(1, 2)
(2, 4)
(3, 6)
(4, 8)
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10

5. Step 3: Connect the dots if appropriate. Begin at the origin.
(1, 2)
(2, 4)
(3, 6)
(4, 8)
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10

6. Step 4: Write the function using the standard notation y = kx
k is known as
the constant of
proportionality
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10
HUH?

7. Constant of Proportionality- The
constant value of the ratio of two
proportional quantities.
In other words, the output
increases or decreases by the
same multiple each time.
Y = 2X
2 is the constant

8. Step 5: Describe the characteristics of the graph
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10
Is it
increasing?
Decreasing?
Staying
the same?

9. Step 6: Extend the graph to find other values of the function.
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10
What would
be the value
if x=11?

10. The End