Linear and Nonlinear Functions

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Linear and Nonlinear Functions
How do you identify, compare, and contrast
functions as linear or nonlinear? SPI 0806.3.7/
CC 8.F.3
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• Linear Functions have graphs that are straight
  lines and represent constant rate of change.

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• Nonlinear Functions have graphs that are not
  straight lines.
• The rate of change is not constant (values dont
  increase/decrease at the same rate).

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• Linear Functions represent constant rate of
  change.

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• Nonlinear Functions do not represent constant
  rate of change.

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X Y
1 6
2 8
3 10
4 12
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X Y
-2 2
-1 4
0 8
1 16
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x 3 6 9 12
y 12 10 8 6
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• In slope-intercept form, x may not be raised to a
  power higher than 1.
• X may not appear in the denominator of a
  fraction.
• No additional symbols with the x.

nonlinear
nonlinear
linear
linear
linear
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Y 2/x 1
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Let's Review!!!
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B.
A.
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D.
C.
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y
E.
F.
y
4
x
4
4
0
4
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y
G.
H.
y
4
4
x
x
4
4
4
4
0
0
4
4
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Input Output
1 2
2 5
3 11
I.
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J.
Input Output
1 3
2 6
3 9
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K.
Input Output
1 1
2 4
3 9
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Input Output
1 2
2 4
3 6
L.
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M.
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N.
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O.
5/x - 15 y
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P.
6x 2 y
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Exit Slip
Identify if linear or nonlinear AND WHY.

1. Table A

1. Equation

x 3 6 9 12
y 12 10 8 6

1. Graph