Algebra 1
Unit 3 Review
Algebra 1 – Unit 3 Review
Is each of the following relations also a function? Explain.
1)
–7
5
1
-5
3
4
2
3
16
3)
2)
First name
Last name
Joseph
Smith
Erin
Ramos
Maude
Morgenstern
Joseph
Villa
Heather
Mackenzie
6
Algebra 1 – Unit 3 Review
ANSWER
Is each of the following relations also a function? Explain.
1)
–12
3
3
–9
9
0
6
1
24
Not a function
3)
2)
4
Function
First name
Last name
Joseph
Smith
Erin
Ramos
Maude
Morgenstern
Joseph
Villa
Heather
Mackenzie
Not a function
Algebra 1 – Unit 3 Review
Is each of the following relations also a function? Explain.
1)
3)
2)
{(4, -3), (5, 6), (-9, 2), (0, 6)}
Algebra 1 – Unit 3 Review
ANSWER
Is each of the following relations also a function? Explain.
1)
2)
Function
Not a function
3)
{(4, -3), (5, 6), (-9, 2), (0, 6)}
Function
Algebra 1 – Unit 3 Review
The following shows the World Series winners since 2009:
year
World Series Champion
2009
New York Yankees
2010
San Francisco Giants
2011
St. Louis Cardinals
2012
San Francisco Giants
2013
Boston Red Sox
1) Is this relation also a function?
2) What is the independent variable?
3) What is the dependent variable?
Algebra 1 – Unit 3 Review
ANSWER
The following shows the World Series winners since 2009:
year
World Series Champion
2009
New York Yankees
2010
San Francisco Giants
2011
St. Louis Cardinals
2012
San Francisco Giants
2013
Boston Red Sox
1) Is this relation also a function?
yes
2) What is the independent variable?
year
3) What is the dependent variable?
World Series Champion
Algebra 1 – Unit 3 Review
The following shows the World Series winners since 2009:
year
World Series Champion
2009
New York Yankees
2010
San Francisco Giants
2011
St. Louis Cardinals
2012
San Francisco Giants
2013
Boston Red Sox
1) What is the domain?
2) What is the range?
Algebra 1 – Unit 3 Review
ANSWER
The following shows the World Series winners since 2009:
year
World Series Champion
2009
New York Yankees
2010
San Francisco Giants
2011
St. Louis Cardinals
2012
San Francisco Giants
2013
Boston Red Sox
1) What is the domain?
{ 2009, 2010, 2011, 2012, 2013 }
2) What is the range?
{ NY Yankees, SF Giants, St. Louis Cardinals, Boston Red Sox }
Algebra 1 – Unit 3 Review
Which graph best matches the data in the table?
35
Time
(sec)
Speed
(ft/sec)
0
30
1
21
25
2
14
20
3
9
4
6
5
5
6
6
7
9
8
14
9
21
10
30
30
15
10
5
0
1
2
3
4
5
6
7
8
9
10
11
Algebra 1 – Unit 3 Review
ANSWER
Which graph best matches the data in the table?
35
Time
(sec)
Speed
(ft/sec)
0
30
1
21
25
2
14
20
3
9
4
6
5
5
6
6
7
9
8
14
9
21
10
30
30
15
10
5
0
1
2
3
4
The red curve
5
6
7
8
9
10
11
Algebra 1 – Unit 3 Review
The equation h(t) = -16t2 + 1600 can be used to approximate
the position of object dropped from 1600 ft where h is its
height and t is the time.
1) Find h(5).
2) How long would it take to get to 100 feet?
Algebra 1 – Unit 3 Review
ANSWER
The equation h(t) = -16t2 + 1600 can be used to approximate
the position of object dropped from 1600 ft where h is its
height and t is the time.
1) Find h(5). h(5) = 1200 ft
2) How long would it take to get to 100 feet? t  9.68 sec
Algebra 1 – Unit 3 Review
The equation h(t) = -16t2 + 1600 can be used to approximate
the position of object dropped from 1600 ft where h is its
height and t is the time.
1) What would be a realistic domain?
2) What would be the range?
Algebra 1 – Unit 3 Review
ANSWER
The equation h(t) = -16t2 + 1600 can be used to approximate
the position of object dropped from 1600 ft where h is its
height and t is the time. The ground is at h = 0.
1) What would be a realistic domain?
0 ≤ t ≤ 10 seconds
2) What would be the range?
0 ≤ h ≤ 1600 feet