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

(...
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...
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...
Constant of Proportionality- The
constant value of the ratio of two
proportional quantities.

In other words, the output
i...
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?
Decreasi...
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 End
Graphing functions
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Graphing functions

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Graphing functions

  1. 1. 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
  2. 2. 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)
  3. 3. 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
  4. 4. 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
  5. 5. 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?
  6. 6. 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
  7. 7. 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?
  8. 8. 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?
  9. 9. The End
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