4-3 Patterns and Nonlinear Functions
Quick Review
A nonlinear function is a function w hose graph is not a
line or p art of a line.
Ex a m p l e
The area A of a square field is a function of the side
length s of the field. Is the function linear or nonlinear?
(^10152025)
100 225 400 625
Graph the ordered pairs and
connect the points. The graph
is n o t a line , so th e fu n c tio n is
nonlinear.
Ex e r c i se s
Graph the function shown by each table. Tell whether the
function is linear o r nonlinear.
9.
an
1 0
11.
5 15 25
10.
1 0
4.5
12.
an
(^1) -2
2-9
3-16
4-23
4-4 Graphing a Function Rule
Quick Review
A continuous graph is a graph th a t is u nbroken. A discrete
graph is com posed of distinct, isolated points. In a real-
world graph, show only points th at m ake sense.
Ex a m p l e
The total height h of a stack of cans is a function of the
number n of layers of 4.5-in. cans used. This situation is
represented by h = 4.5n. Graph the function.
OKI
0 0
14.5
2 9
3 13.5
4 18
25
20
15
10
5
0 1 2 3 4 5
The g ra p h is d is c re te
because only w hole
numbers of layers
make sense.
Ex e r c i s e s
Graph the function rule. Explain why the graph is
continuous or discrete.
- Walnuts Your cost c t o b u y w p o u n d s of w alnuts at
$6/lb is re p resen te d by c = 6w. - Moving A tru ck originally h eld 24 chairs. You
rem ove 2 chairs at a time. The n u m b e r of chairs n
rem aining after you m ake t trips is rep resen ted by
n = 24 - 21. - Flood A b u rst pipe fills a b ase m e n t w ith 37 in.
of water. A p u m p em pties th e w ater at a rate of
1.5 in ./h. The w ater level €, in inches, after t hours is
re p resen te d by € = 37 - 1.5f. - Graph y = — |jc| + 2.
c
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