Download Domain, Range, Functions, Relations, Tables of Values

NAME: ______________________________
HOUR: _________ TABLE #: __________
Domain, Range, Functions, Relations, Tables
of Values, Intercepts and Interpreting Graphs
Review Assignment
Multiple Choice #1 & #2 ONLY
____
1. Identify the mapping diagram that represents the relation and determine whether the relation is a function.
a.
The b.
relation is a function.
relation is a function.
____
The c.
The d.
relation is not a function
2. Which function rule matches the input-output table?
Input, x
Output, y
a.
1
7
2
11
b.
3
15
4
19
5
23
c.
d.
Short Answer
3. What is the y-intercept of the line with the equation
?
The
relation is not a
function.
4. Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket
are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the
store on her first trip for the day. What is the greatest possible number of stops she made at traffic lights?
Distance
Time
5.
y
Identify the x-intercept and the y-intercept of the line.
–5
x
–5
y
6. Graph the linear equation
6
by finding the x- and y-intercepts.
4
2
–8
–6
–4
–2
2 x
–2
7. Graph the function using a table:
X
Y
-2
-1
0
1
2
–4
y
4
2
–2
2
–2
–4
4
x
8. Graph the function using a table:
X
Y
-2
-1
0
1
2
y
4
2
–4
–2
2
4
x
–2
–4
9. Model the function rule
x
y
–2
0
3
with a table of values and a graph.
y
4
2
–4
–2
2
–2
–4
4
x
10. Complete the table. Then graph the function.
y
6
4
2
–2
2
4
6
x
–2
11. 110 students have signed up to play either soccer or basketball. Any number of soccer or basketball teams can
be formed. A soccer team consists of 11 players and a basketball team has 5. This situation can be modeled by
the equation
.
a)
Explain what x means in the equation.
b) Explain what y means in the equation.
c) Find the intercepts.
12. Decide whether the given ordered pair is a solution of the equation.
13. List the domain and range of the relation. Does the input-output table represent a function? Why or why not?
Input
Output
3
6
6
-10
-4
8
10
6
14. Graph the lines for the equation x = -3 and the equation y = 4 on the same coordinate plane.
y
6
5
4
3
2
1
–5 –4 –3 –2 –1–1
1
2
3
x
–2
15. Elaine is in the business of repairing home computers. She charges a base fee of $45 for each visit and $25
per hour for her labor.
a) Write an equation for the total cost in terms of the number of hours she works repairing home computers.
b) Use your equation to find the intercepts of the function.
c) Graph the equation. (Make a table of values if needed.)
Remember to label your axes and number appropriately.
c(x)
x