Page 107 - Math Course 2 (Book 1)

Linear and Nonlinear Functions

Mo. 3

Lesson 10 Quadratic Function

a function that can be described by an equation of
2
the form y = ax + bx + c, where a ≠ 0.
KEY CONCEPTS:
2
1. Determine whether a function is linear ax + bx + c
or nonlinear.
a > 0 a < 0

MO. 3 - L10a

Identifying Linear and

Nonlinear Functions

Vocabulary A-Z Cubic Function
Let us learn some vocabulary
a function that can be described by an equation of
3
2
the form y = ax + bx + cx + d, where a ≠ 0.
ax + bx + cx + d
2
3
Nonlinear Function
a > 0 a < 0
functions that do not have constant rates of change.
Therefore, their graphs are not straight lines.

Linear y
x y = 10x
+1 +10
1 10
+1 2 20 +10 0 x
3 30 Key Concept
+1 4 40 +10

The rate of change Nonlinear Functions
is constant
A quadratic function is a function that can be
described by an equation of the form
2
Nonlinear y = ax + bx + c, where a ≠ 0.
3 y
x y = x A cubic function is a function that can be
+1 –1.5 described by an equation of the form
1 3 y = ax + bx + cx + d, where a ≠ 0.
2
3
+1 2 1.5 –0.5 x
0
+1 3 1 –0.25 An exponential function is a function that can be
described by an equation of the form
4 0.75
y = ax + c, where a ≠ 0.
The rate of change
is not constant An inverse variation function is a function that
can be described by an equation of the form

k
y = , where k ≠ 0.
x

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