WARM UP
Use the table for the following questions.
X
0
1
2
3
Y
8
1
-6
-13
1.) Is the relationship a linear function? How do you know?
2.) What is an equation that describes the relationship?
4.3 PATTERNS AND
NONLINEAR FUNCTIONS
OBJECTIVE
Identify and represent patterns that describe nonlinear
functions.
LINEAR AND
NONLINEAR
EXAMPLE 1 – CLASSIFYING
FUNCTIONS AS LINEAR OR
NONLINEAR
The number of centimeters is a function of the number of
inches as shown in the table. Is the function linear or
nonlinear?
Inches
Centimeters
1
2.54
2
5.08
3
7.62
4
10.16
EXAMPLE 2 – REPRESENTING
PATTERNS AND NONLINEAR
FUNCTIONS
The table shows the number of calls made in a phone tree
during each level. Identify the pattern to complete the table.
How can you represent the relationship using words, an
equation, and a graph?
Level, x
Number of calls, y
Ordered Pair (x, y)
1
2
(1, 2)
2
4
(2, 4)
3
8
(3, 8)
EXAMPLE 3 – WRITING A
RULE TO DESCRIBE A
NONLINEAR FUNCTION
The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125)
represent a function. What is a rule that represents this
function?
ASSIGNMENT
Pg. 250 (6 – 9 all, 12, 13, 15)
QUIZ
Evaluate the expression for the given value(s) of the
variable(s).
1.) 3x – 2y; x = -1, y =2
2.) w² + 3w; w = -3
3.)
3+𝑘
𝑘
;k=3
4.) Is the relationship in the table a linear function?
Describe the relationship using an equation.
x
1
2
3
4
y
8
10
12
14