functions day 2.notebook
March 14, 2016
Objective: Students will use the vertical line test to
determine if a graph is a function and use the function
rule to complete function tables.
Do Now: Are the following two pictures
functions? EXPLAIN why or why not.
1.
Input Output
3
0
­3
0
3
2
2.
Review from Yesterday!!!
First let's list out the domain and the range.
Are the following relations functions?
EXPLAIN why or why not.
1. {(9,8), (8,­7), (7,­8),(9,9), (3,4)}
2.
1
functions day 2.notebook
March 14, 2016
Are the following relations functions?
EXPLAIN why or why not.
3. y = 2x + 1
5. y = x2
4. y = 3x
6. y = x3 + 4
For the function rule given, fill in the table of values. 1)
input Add 7
Input
­1
Output
­8
­5
output 10
9
3
7
14
2
functions day 2.notebook
March 14, 2016
For the function rule given, fill in the table of values. 2) Divide by 5 output input then subtract 3
Input
­25
Output
3
5
15
­8
3)
Multiply by 2 input then subtract 4 output Input
­12
­4
Output
10
0
25
3
functions day 2.notebook
March 14, 2016
4)At Roy's doughnut Shop, if you buy 1 to 4 doughnuts,
you pay $0.50 per doughnut. If you buy 5 to 8
doughnuts, the price is $0.40 each. Roy limits each
customer to 8 doughnuts.
Number of Doughnuts
0 1 2 3 4 5 6 7 8
Total Price ($)
a)Complete the table by finding the total purchase
price for each number of doughnuts.
b) Is the price a function of the number of doughnuts?
Explain.
c) Is the number of doughnuts a function of the price?
Explain.
What is the vertical line test?
­The vertical line test is used to test whether a
graph is a function or not.
1) Place a vertical line on the graph.
2) If the line intersects the graph at only
one point, then the relationship is a
function.
3) If the line intersects the graph at more
than one point, then the relationship is not
a function.
4
functions day 2.notebook
March 14, 2016
Using the vertical line test, determine if the
following graphs are functions:
1)
2)
Using the vertical line test, determine if the
following graphs are functions:
3)
4)
5
functions day 2.notebook
March 14, 2016
6