Algebra I Chapter 4 Section 3
Name ___________________ Date ____________ Period ________
Section 4.3: Patterns and Nonlinear Functions
*If you are absent the day we complete this handout together in class it is your responsibility
to fill it in; please borrow from a friend to get the notes you missed!
1.
What is a function?
2. What does it mean to be non-linear?
3. 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 theses functions shown by the tables below. Is each function linear or nonlinear?
Radius (in)
2
4
6
8
10
Weight (oz)
2
4
6
8
10
Area (in2)
12.57
50.27
113.10
201.06
314.16
Cost ($)
$0.80
$1.60
$2.40
$3.20
$4.00
4. The table below shows the fraction, A, of the original area of a piece of paper that remains
after the paper has been cut in half “n” times. Graph the function represented by the table.
Is the function linear or nonlinear?
Cutting Paper
Number of cuts, n
Fraction of Original
Area Remaining, A
1
1/2
2
1/4
3
1/8
4
1/16
5. The ordered pairs (0,-2), (1,1), (2,4), (3,7) and (4,10) represent a function. What is the rule
that represents this function?