4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
4.4: Graphing a Function Rule
Date: 11/23
The set of all solutions of an equation forms the equation’s graph. A
graph may include solutions that do not appear in a table. A real­world
graph should only show points that make sense in the given situation.
Ex 1). What is the graph of the following function rules?
a)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
1
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 1). What is the graph of the following function rules?
b)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
2
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 2). The function C = 12.5h + 30 represents the total cost of renting a
truck for h hours. What is reasonable graph of the function given that the
daily limit is 12 hours?
3
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Continuous vs. Discrete Graphs
Continuous Graph
Discrete Graph
4
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 3). Megan buys eggs at the supermarket for $1.75 per carton. The
cost is a function of the number of cartons bought. What is the graph of
the function? Is the function continuous or discrete?
5
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 4). Graph the nonlinear function rules:
a)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
6
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 4). Graph the nonlinear function rules:
b)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
7
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 4). Graph the nonlinear function rules:
c)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
8
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Ex 4). Graph the nonlinear function rules:
d)
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
9
4.4 ­ Graphing a Function Rule.notebook
November 23, 2015
Homework:
pg. 257 #1 – 4, 6, 7, 10 – 20(e), 22, 24 – 32(e)
*SKIP #12
10