5.1 Linear Functions And Graphs
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Transcript of 5.1 Linear Functions And Graphs
5.1 Linear Functions and Graphs
Student Study Guide
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
5. (2, 9), (3, 10), (5, 12), (9, 14)5. (2, 9), (3, 10), (5, 12), (9, 14)
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
function1. (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.
Every 3 pictures increases 30 cents
Number of pictures, x
12 15 24 36
Cost, in dollars, y
$3.20 $3.50 $4.40 $5.60
Every 1 picture increases 10 cents
$2.00 processing fee
Y = 2 + 0.10x
10. Write a set of ordered pairs for the function.
(12, 3.20)
Number of pictures, x
12 15 24 36
Cost, in dollars, y
$3.20 $3.50 $4.40 $5.60
(15, 3.50)
(24, 4.40)
(36, 5.60)
11. Identify the domain shown in the table.
12, 15, 24, 36
Number of pictures, x
12 15 24 36
Cost, in dollars, y
$3.20 $3.50 $4.40 $5.60
12. Identify the range shown in the table.
3.20, 3.50, 4.40, 5.60
Number of pictures, x
12 15 24 36
Cost, in dollars, y
$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.
Y = 2x + 1
X Y
0
1
2
3
X Y
0 1
1 3
2 5
3 7