Non-Linear Functions

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Non-Linear Functions
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Objectives (1.1.4 and1.2.4)The student will be
able to

• Describe the graph of a non-linear function and
  discuss its appearance.
• Describe how the graphical model of a
  non-linear function represents a given problem
  and estimate a solution.

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Use the Vertical Line Test to determine if the
following are functions!!
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Now, lets talk about properties ofNON-LINEAR
functions
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VOCABULARY

1. MAXIMUM value the highest y value
2. MINIMUM value the lowest y value
3. DOMAIN all of the x values in the function
4. RANGE all of the y values in the function
5. CONTINUOUS connected no breaks in the graph
6. ZEROS occur where the graph crosses the x-axis
   (x value when the y value is zero)

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Identifying the Properties of a Graph
Maximum y 9
Domain (x values) -8 x 7.5 Range (y
values) -7 y 9
Zeros (-6,0), (-2,0), (2,0), (6,0)
Minimum y -7
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Identifying the Properties of a Graph Example 2
Zeros (-9.75,0), (-3,0) and (4,0)
Maximum y 2
Minimum y -6.25
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Continuity

• Look at the following graphs and state the value
  of x where the graph is not continuous.

X 5
X 3
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• How far does the ball travel horizontally before
  it hits the ground?
• Answer 15 yards

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DOG PEN

• In the ordered (2,4), what does the y coordinate
  represent?

Answer The area is 4 square yards.
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Dive into MATH

• How high was Janes platform?
• Answer 10 meters
• How far away from the platform did Jane land?
• Answer 4 meters

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THE END