This document discusses graphing functions from tables. It begins with definitions of function terminology like domain, range, input, and output. It then shows an example of using a function table to graph the function y=2x+3 by substituting x-values into the function, finding the corresponding y-values, and plotting these ordered pairs on a graph. It also includes an independent practice problem graphing the function y=5x-5 in the same manner.

1. More Functions…
Graphing functions from tables
Agile Mind_Unit 3 Functions_Oct. 17, 2014 1

2. Review of vocabulary words…
Agile Mind_Unit 3 Functions_Oct. 17, 2014 2
1. Function:
Expressed as f(x)
2. Domain:
X values
3. Range:
Y values
4. Input:
X value
5. Output:
Y value
Label the 5 words on this machine

3. Let’s try a function table…
Agile Mind_Unit 3 Functions_Oct. 17, 2014
3
y = 2x + 3
X Y or f(x)
-7 -11
-5 -7
-3 -3
4 11
8 19
12 27
Function Table Steps
1. Rewrite “y” with f(x)
2. Use the substitute property to replace the x with the value
3. Solve the equation
4. Repeat steps 2 and 3 for all the values of x
2x + 3
-7
-11
f(x) = 2x + 3
= 2(-7) + 3
= -14 + 3
= -11
f(x) = 2x + 3
= 2(-5) + 3
= -10 + 3
= -7
f(x) = 2x + 3
= 2(-3) + 3
= -6 + 3
= -3
f(x) = 2x + 3
= 2(4) + 3
= 8+ 3
= 11
f(x) = 2x + 3
= 2(8) + 3
= 16+ 3
= 19
f(x) = 2x + 3
= 2(12) + 3
= 24+ 3
= 27

4. Independent Practice…
Agile Mind_Unit 3 Functions_Oct. 17, 2014 4
y = 5x - 5
X f(x)
-7
-5
-3
4
8
12
f(x) = 5x – 5
= 5(-5) – 5
= -25 – 5
= -35
f(x) = 5x – 5
= 5(-7) – 5
= -35 – 5
= -40
f(x) = 5x – 5
= 5(-3) – 5
= -15 – 5
= -20
f(x) = 5x – 5
= 5(4) – 5
= 20 – 5
= 15
f(x) = 5x – 5
= 5(8) – 5
= 40 – 5
= 35
f(x) = 5x – 5
= 5(12) – 5
= 60 – 5
= 55

5. Graphing function tables
Agile Mind_Unit 3 Functions_Oct. 17, 2014 5
y = 2x + 3
X Y or f(x)
-7 -11
-5 -7
-3 -3
4 11
8 19
12 27
1. Draw the x axis
2. Draw the y axis
4. Put your x and y values as
ordered pairs
6. Find the spot where x and y
meets
8. Repeat steps 6 and 7 until you
have placed all ordered pairs on
the graph
9. Connect the dots and make a
line
3. Label x and y axis
x
y
(x, y)
(-7,-11)
(-5, -7)
(-3, -3)
(4, 11)
(8, 19)
(12, 27)
5. Determine the numbers on the
graph
(hint: go just above the smallest and largest number)
10
10
-10
-10 7. Put a dot on this intersection
(-7,-11)