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Equations, Tables, and Graphs

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Input 2 0 2 4 Output 2 1 0 1 x 2 Input 3 0 6 Output 12 0 24 Graphing Linear Functions LESSON 8-4 Lesson Quiz ALGEBRA READINESS * ALGEBRA ... – PowerPoint PPT presentation

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Title: Equations, Tables, and Graphs


1
Lesson 8-4 Warm-Up
LESSON 8-4 Warm Up
2
Lesson 8-4 Warm-Up
LESSON 8-4 Warm Up
3
Graphing Linear Functions (8-4)
  • To graph any function
  • Make a function table (x y table) where the x
    values (horizontal axis on the graph) are the
    input values (also called independent values) and
    the y values are the output (or dependent)
    values. Make up your own x, or input values, and
    find the y, or output values for those x values.
    Write the x and y solutionsas ordered pairs.
  • Plot those (x, y) pairs and connect the points
    together.
  • Example Graph y - x 12
  • Substitute your own x (input) values
    into the equation and find the corresponding
    y values.
  • Write the solutions to the equations as
    ordered pairs (x, y)
  • How do you graph a linear (line) function?

1 3
4
Graphing Linear Functions (8-4)
  • Plot the ordered pairs from your
    function table..
  • Connect the dots (a linear function in
    which x is to the first power, or x1 will
    form a line)

5
Graphing Linear Functions
LESSON 8-4
Additional Examples
Suppose you buy a bag of food for your dog
every week. Use the table below to make a graph
of the cost of the dog food.
Number of Weeks 1 2 3 4
Cost of Dog Food 4 8 12 16
6
Graphing Linear Functions
LESSON 8-4
Additional Examples
Graph the linear equation y x 3, where y
represents the pressure inside a deflating
balloon after x seconds.
Each point (x, y) on the graph represents a
solution of the equation. For example, the point
(1, 2) means that after 1 second the pressure
inside the balloon is 2 units of pressure.
7
Graphing Linear Functions
LESSON 8-4
Additional Examples
8
Graphing Linear Functions
LESSON 8-4
Additional Examples
Graph the function y x 2.
9
Graphing Linear Functions
LESSON 8-4
Lesson Quiz
1. Complete the table and graph the function
given the rule Output Input
(4). 2. Make a table and graph the
function y 1.
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