Download Linear Functions and Graphs

Linear Functions and Graphs
Student Study Guide
Mrs. Robertson
May 2012
Definitions
Domain: first coordinates in a set of ordered
pairs, x values
(3, 4), (5, 6) - Domain = 3, 5
Range: second coordinates in a set of ordered
pairs, y values
(3, 4), (5, 6) - Range = 4, 6
Function: Pairing between two sets of numbers
in which each element of the first set is paired
with exactly one element of the second set
Exercises: Determine the domain
and range of each relation.
5. (2, 9), (3, 10), (5, 12), (9, 14)
Domain: 2, 3, 5, 9
Range: 9, 10, 12, 14
7. (0, 17), (7, -12), (13, 21), (18, 40)
Domain: 0, 7, 13, 18
Range: 17, -12, 21, 40
Exercises: Determine whether
each relation is a function
1. (12, 7), (6, 5), (12, -7), (6, -5)
• When two x values
are the same, it is
NOT a function.
• Domain: 12 and 12
• Use the vertical line
test to see if it is a
function
Exercises: Determine whether
each relation is a function
3. (1, 3), (2, 3), (4 ,3), (5 ,3) (6, 3)
• When two y values
are the same, it IS
a function.
• Range: 3
• Use the vertical line
test to see if it is a
function
5.1 Linear Functions and
Graphs
Practice Masters Level B
For each relation, (a) describe the
domain, (b) describe the range, and
(c), determine whether the relation
is a function
1. (8, 12.5), (10, 12.3), (15, 12.1)
a. Domain: 8, 10, 15
b. Range: 12.5, 12.3, 12.1
c. Function
Complete each ordered pair so that
it is a solution to 2x - y = 10
3. (2, ___ )
4. (___, 8)
5. (-1, ___)
The table below shows the cost for film developing.
A processing fee of $2.00 is charged per roll, and
there is an additional fee per picture.
9. Write an equation for the function.
Number of
pictures, x
Cost, in dollars,
y
12
15
24
36
$3.20
$3.50
$4.40
$5.60
 Every 3 pictures increases 30 cents
 Every 1 picture increases 10 cents
 $2.00 processing fee
Y = 2 + 0.10x
10. Write a set of ordered pairs for
the function.
Number of
pictures, x
Cost, in dollars,
y
(12, 3.20)
(15, 3.50)
(24, 4.40)
(36, 5.60)
12
15
24
36
$3.20
$3.50
$4.40
$5.60
11. Identify the domain shown in
the table.
Number of
pictures, x
Cost, in dollars,
y
12
15
24
36
$3.20
$3.50
$4.40
$5.60
12, 15, 24, 36
12. Identify the range shown in the
table.
Number of
pictures, x
Cost, in dollars,
y
12
15
24
36
$3.20
$3.50
$4.40
$5.60
3.20, 3.50, 4.40, 5.60
13. The graph below shows a linear function.
Complete the table of values, and determine an
equation of the line.
X
0
1
2
Y
X
Y
0
1
1
3
2
5
3
7
3
Y = 2x + 1