4.3 ­ Patterns and Nonlinear Functions.notebook
4.3: Patterns & Nonlinear Functions
November 18, 2015
Date:11/18
A nonlinear function is a function whose graph is not a line or part of a
line.
Linear Functions:
Nonlinear Function:
1
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
Ex 1).
a) 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
3
4
2.54
5.08
7.62
10.16
2
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
b) Is the function linear or nonlinear? 3
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
Ex 2). 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
3
4
5
2
4
8
(1, 2)
(2, 4)
(3, 8)
4
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
Ex 3). Represent the function using words, an equation, and a graph.
5
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
Ex 4). The ordered pairs represent a function. What is a rule that
represents this function?
a) (1, 1), (2, 8), (3, 27), (4, 64), (5, 125)
b) (2, 5), (4, 9), (5, 11), (7, 15), (10, 21)
c) (2, 10), (4, 20), (5, 25), (7, 35), (9, 45)
d) (2, 4), (3, 9), (4, 16), (5, 25), (6, 36)
e) (2, 3), (3, 8), (4, 15), (5, 24), (6, 35)
f) (1, 3), (2, 10), (3, 29), (4, 66), (5, 127)
6
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
7
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
Homework:
pg. 249 #1 – 4, 6 – 11, 13, 15
Quiz #1 (4.1 ­ 4.3) ­ Friday
8
4.3 ­ Patterns and Nonlinear Functions.notebook
November 18, 2015
9