You should be able to: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

2 4

3 6

4 8

(1, 2) (2, 4) (3, 6) (4, 8)

Step 2: Plot the points on a coordinate plane.

1

43210

8765

109

2 3 4 5 6 7 8 9 10

(1, 2) (2, 4) (3, 6) (4, 8)

Step 3: Connect the dots if appropriate. Begin at the origin.

1

43210

8765

109

2 3 4 5 6 7 8 9 10

(1, 2) (2, 4) (3, 6) (4, 8)

Step 4: Write the function using the standard notation y = kx

1

43210

8765

109

2 3 4 5 6 7 8 9 10

k is known as the constant of proportionality

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

1

43210

8765

109

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.

1

43210

8765

109

2 3 4 5 6 7 8 9 10

What would be the value if x=11?

The End