Page 108 - Math Course 2 (Book 1)

Linear and Nonlinear Functions

Concept Summary

Nonlinear Functions

Quadratic Cubic Exponential Inverse Variation

y
y y y 1
y = x 3 y =
x x
0 0 x x 0 x 0 x
y = x 2 y = 2

Identify Functions Using Equations
Let’s Begin
Examples

Identify Functions Using Graphs Determine whether y = –5x – 4 represents a linear
or nonlinear function.

Examples This equation represents a linear
Answer function because it is written in
Determine whether the graph represents a linear or the form y = mx + b.
nonlinear function.
2
y Determine whether y = 2x + 3 represents a linear
or nonlinear function.

This equation is nonlinear
because x is raised to the second
Answer
x power and the question can't be
0 written in the for y = mx + b

Identify Functions Using Tables
The graph is a straight line, so it
Answer
represents a linear function.
Examples
Determine whether the graph represents a linear
or nonlinear function.
Determine whether the table represents a linear or
y y
nonlinear function.

x y
+2 –8
x x 2 25 As x increases by
+2 4 17 –8 2, y decreases by 8.
0 0 So, this is a linear
6 9
+2 –8 function.
8 1

The graph is a curve, not a
Answer straight line, so it represents a Answer linear
nonlinear function.

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