Graphing functions

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

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)

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

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

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?

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

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?

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?

Graphing functions

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Graphing functions