Graphing Functions

We are learning to…model functions as tables, graphs and equations (rules)

Thursday, April 20, 2023

Silent Function Game #1

X 6 1 9 0 20 100

Y 34 14 10 22

Rule:

__________________________

Rule:

__________________________

Demonstrate what the function below looks like when graphed on a coordinate plane.

Function: 2x + 1 = y

x(input)

Solve to find the Output

y(output)

Ordered Pair (x,y)

0 1 2 3 4

2(0)+1

0+1

1

(0, 1)

2(1)+1

2+1

3

(1, 3)

2(2)+1

4+1

5

(2, 5)

2(3)+1

6+1

7

(3, 7)

2(4)+1

8+1

9

(4, 9)

•Do you see a trend in the values that have been graphed on the coordinate plane? Describe any trends you see.

•Would it be practical to graph EVERY input and output on the coordinate plane?

•How could we demonstrate the trend of the data? How could we show every input and output without actually putting a point on the graph?

Graphing Functions on Coordinate Plane

1. Pick out 5 inputs…make sure to pick smart x values that will fit on your coordinate plane.

2. Using the equation (rule) substitute the input for x and solve for y (the output).

3. Create an Ordered Pair with your x and y values and then plot the ordered pair on the coordinate plane.

4. Draw a line through the points you graphed on the coordinate plane to demonstrate all points that represent the function.