Name: ________________________________________________ Date: ________________________ Period: _____
Algebra 1 – Unit 2 Homework Packet – Functions and Relations
2.1 Multiple Representations of Relations
Directions: Fill in the missing components of the chart below:
Ordered
Pairs
(5, -4);
(-3, -2);
(2, 1);
(0,0);
(0, 2);
(1, 3);
(-1, -3)
Table of
Values
x
y
x
y
2
-4
3
-6
1
-2
0
0
2
4
x
y
Mapping Diagram
2
3
-4
-1
x
2
5
3
y
1
0
2
1
3
4
Graph
Function:
Yes or No?
2.2 Domain and Range
Directions: For each problem below, find the Domain and Range and indicate whether the
relation is a function
1.
2.
3.
Domain:
Range:
Function: Yes No
Domain:
Range:
Function: Yes No
5.
6.
Domain:
Range:
Function: Yes No
4. {(7, 2); (-3, -5); (-3, 8);
(2, 4); (2, 5); (4, 2)}
x
y
1
1
2
4
3
9
-3
9
-2
4
x
y
1
1
1
-1
2
4
Range:
2
-4
Function: Yes No
3
9
Domain:
Range:
Domain:
Function: Yes No
Range:
Function: Yes No
7.
8. {(1, 2); (2, 2); (3, 2);
(-1, 2); (-2, 2); (-4, 2);
(6, 2)}
Domain:
Range:
Function: Yes No
9.
Domain:
Domain:
Range:
Function: Yes No
Domain:
Range:
Function: Yes No
10.
11.
12.
Domain:
Range:
Function: Yes No
Domain:
Range:
Function: Yes No
Domain:
Range:
Function: Yes No
Name: ________________________________________________ Date: ________________________ Period: _____
Algebra 1 – Unit 2 Homework Packet – Functions and Relations
2.3 Function Notation
Part 1: Evaluate each function.
1. p(x) = x2 – 5x; find p(-10)
2. p(n) = 3n3 – 4n2; find p(-1)
3. h(x) = 3|-2x + 2|; find h(-2)
4. w(x) = x2 – 2; find w(-8)
5. w(a) = 2a – 2; find w(-8)
6. w(n) = |3n| - 2; find w(-10)
Part 2: Find the range of each function given the domain.
7. F(x) = -3x + 1 Domain {-2, -1, 0}
8. F(x) = x2 – 2 Domain {-2, 0, 1}
9. H(x) = x – 3 Domain {-3, -2, -1, 0, 1, 2}
10. H(x) = 3x Domain {-9, 0, 3, 6}
2
Part 3: Make a table of values for each function. Then graph.
11. F(x) = x + 1
1
13. G(x) = 2x
12. G(x) = x2 + 1
14. H(x) = x + 4
2.4 Function Rules
Name: ________________________________________________ Date: ________________________ Period: _____
Algebra 1 – Unit 2 Homework Packet – Functions and Relations
2.5 Arithmetic Sequences
Part 1 Directions: Write a function rule to represent each sequence given below.
1.
7
4. -6
11
15
-10
19
-14
-18
2.
17
5.
20
13
14
9
8
5
2
3.
18
7
-4
6.
2
5
10
-15
17
Part 2 Directions: Find the second, fifth, and ninth terms of each sequence.
7. A(n) = 3n – 1
8. A(n) = -7 + 4(n – 1)
9. A(n) = 4n – 11
10. A(n) = 7n – 12
11. A(n) = (n – 1)(7) – 5
12. A(n) = -2n + 4
13. Invent your own arithmetic sequence. List at least four terms and write the formula for
your sequence.
Sequence: ___, ___, ___, ___
Formula: A(n) = ___________