1. 4.3 Patterns and nonlinear functions
Identify and represent patterns that describe nonlinear functions.

2. Interpreting graphs
Linear function: a function whose graph is a nonvertical line.
Nonlinear: a function whose graph is not a line

3. There is a connection/relationship between the area and the radius.
The area A, in square inches of a pizza is a function of its radius r, in inches. The cost C, in dollars, of the sauce for a pizza is a function of the weight w, in ounces, of sauce used. Graph these functions shown by the tables below. Is each function linear or nonlinear?
There is a connection/relationship between the area and the radius.
There is a connection/
relationship between the cost and weight of the sauce.
Pizza Area
Sauce Cost
Radius (in), r
Area (in2), A 2
12.57 4
50.27 6
113.10 8
201.06 10
314.16
Weight(oz) , w
Cost, C 2
$.80 4
$1.60 6
$2.40 8
$3.20 10
$4.00
Sauce Cost
Pizza Area C O S T A R E
(in2) 6
300
200 4
nonlinear 2
linear
100
Radius (in)
Weight (oz)

4. The table shows the total number of blocks in each figure below as a function of the number of blocks on one edge. What is a pattern you can use to complete the table Represent the relationship using words, an equation, and a graph.
The total number of blocks y is the cube of the number of blocks on one edge x.
graph
Words:
Equation:
y = x3

5. 2 1 2
2 2 4
2 3 8
2 4 16
2 5 32
2 6 64
2 7
128
2 8
256
1 2 1
2 2 4
3 2 9
4 2 16
5 2 25
6 2 36
7 2 49
8 2 64
1 3 1
2 3 8
3 3 27
4 3 64
5 3
125
6 3
216
7 3
343

6. y = 2x Writing a rule to describe a nonlinear function. X Y 1 2 4 3 8
The ordered pairs (1,2), (2,4), (3,8), (4,16), and (5,32) represent a function. What is a rule that represents this function? X Y 1 2 4 3 8 16 5 32
y = 2x

7. Assignment:
Pg 250: 6-20, 26-29
Hint: a all have exponents in the equation.
b. 14, 16 have fractions in your answer.