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A2_chp02

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Make a mapping diagram for the relation.
{(–1, –5), (1, 4), (2, –4), (6, 1)}
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 
Write the ordered pairs for the relation.
mc002-1.jpg
a.
{(–5, 5), (–1, 4), (0, –0.5), (1, 4), (5, 5)}
b.
{(5, –5), (4, –1), (–0.5, 0), (4, 1), (5, 5)}
c.
{(–5, 5), (4, –1), (0, –0.5), (1, 4), (5, 5)}
d.
{(5, –5), (–1, 4), (–0.5, 0), (4, 1), (5, 5)}
 

 3. 
Graph the relation. Find the domain and range.
mc003-1.jpg
a.
mc003-2.jpg
domain: mc003-3.jpg
range: mc003-4.jpg
c.
mc003-8.jpg
domain: mc003-9.jpg
range: mc003-10.jpg
b.
mc003-5.jpg
domain: mc003-6.jpg
range: mc003-7.jpg
d.
mc003-11.jpg
domain: mc003-12.jpg
range: mc003-13.jpg
 
 
For each function, what is the output of the given input?
 

 4. 
For mc004-1.jpg, mc004-2.jpg.
a.
–19
b.
1
c.
–21
d.
21
 

 5. 
For mc005-1.jpg, mc005-2.jpg.
a.
–2
b.
–14
c.
16
d.
–16
 
 
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
 

 6. 

x
y
6
24
18
72
54
216
162
648
a.
yes; k = 4; y =4x
c.
yes; k = 6; y =6x
b.
yes; k = 3; y =3x
d.
no
 

 7. 

x
y
7
14
10
20
13
26
16
32
a.
yes; k = 2; y = 2x
c.
yes; k = 7; mc007-2.jpg
b.
yes; k = 3; mc007-1.jpg
d.
no
 

 8. 

x
y
3
8
4
10
5
12
6
14
a.
yes; k = 2.67; y =2.67x
c.
yes; k = 3; y =3x
b.
yes; k = 2.5; y =2.5x
d.
no
 
 
Find the value of y for a given value of x, if y varies directly with x.
 

 9. 
If y = 2.52 when x = 8.4, what is y when x = 2.7?
a.
9
b.
–9
c.
0.81
d.
–0.81
 

 10. 
The distance traveled at a constant speed is directly proportional to the time of travel. If Olivia traveled 112 miles in 3.5 hours, how many miles will Olivia travel in 8.9 hours at the same constant speed?
a.
99.6 mi
b.
284.8 mi
c.
172.8 mi
d.
124.4 mi
 

 11. 
The table shows the median home prices in Florida.  What is the equation of a trend line
that models a relationship between time and home prices?  Use the equation to predict the
median home price in 2020.

Year1940195019601970198019902000
Median Price($)$25,600$36,800$58,200$60,600$88,700$95,400$110,100

a.
 mc011-1.jpg;  $110,100
c.
 mc011-3.jpg;  $138,300
b.
 mc011-2.jpg;  $110,100
d.
 mc011-4.jpg;  $138,300
 

 12. 
A cannery processed 1445 pounds of strawberries in 4.5 hours. The cannery processed 2320 pounds in 7 hours.  Write a linear equation to model the relationship between the weight of strawberries S and time T.  How many pounds of strawberries can be processed in 11 hours?
a.
S = 350T + 130; 3980 lb
c.
T = 350S – 130; 3720 lb
b.
S = 350T – 130; 3720 lb
d.
S = 321T – 130; 3402 lb
 
 
Graph the set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its equation.
 

 13. 
{(1, 3), (–2, 1), (3, mc013-1.jpg), (–4, –3), (0, 5)}
a.
yes; mc013-2.jpg
mc013-3.jpg
c.
a linear model is not reasonable
mc013-6.jpg
b.
yes; mc013-4.jpg
mc013-5.jpg
d.
yes; mc013-7.jpg
mc013-8.jpg
 
 
Let g(x) be the reflection of f(x) in the y-axis.  What is the function rule for g(x)?
 

 14. 
Let mc014-1.jpg be the reflection of mc014-2.jpg in the y-axis.  What is a function rule for mc014-3.jpg?
a.
mc014-4.jpg
c.
mc014-6.jpg
b.
mc014-5.jpg
d.
mc014-7.jpg
 
 
The function f(x) is represented by the given table.  What are the corresponding values of the given g(x)?
 

 15. 
The function mc015-1.jpg is represented by the table below.  What are the corresponding
values of mc015-2.jpg for the transformation mc015-3.jpg?

x
mc015-4.jpg
–10
7
–5
–5
0
–1
2
4
8
9

a.
  x       g(x)
mc015-5.jpg
c.
  x       g(x)
mc015-7.jpg
b.
  x       g(x)
mc015-6.jpg
d.
  x       g(x)
mc015-8.jpg
 

 16. 
Write an equation for the following transformation of mc016-1.jpg:  
a vertical stretch by a factor of 4
a.
mc016-2.jpgmc016-3.jpgx
c.
mc016-5.jpgmc016-6.jpgx
b.
mc016-4.jpg4x
d.
mc016-7.jpg4x
 
 
Find the function rule for g(x).
 

 17. 
The function mc017-1.jpg.  The graph of mc017-2.jpg is mc017-3.jpg vertically compressed by a factor of mc017-4.jpg and reflected in the x-axis.  What is the function rule for mc017-5.jpg?
a.
mc017-6.jpg–16x
c.
mc017-9.jpgmc017-10.jpgx
b.
mc017-7.jpgmc017-8.jpgx
d.
mc017-11.jpg16x
 

 18. 
The function mc018-1.jpg.  The graph of mc018-2.jpg is mc018-3.jpg translated to the left 5 units and up 3 units.  What is the function rule for mc018-4.jpg?
a.
mc018-5.jpg
c.
mc018-7.jpg
b.
mc018-6.jpg
d.
mc018-8.jpg
 
 
What transformations change the graph of f(x) to the graph of g(x)?
 

 19. 
mc019-1.jpg;  mc019-2.jpg
a.
The graph of mc019-3.jpg is the graph of mc019-4.jpg translated to the right 9 units and down 6 units.
b.
The graph of mc019-5.jpg is the graph of mc019-6.jpg translated to the left 9 units and up 6 units.
c.
The graph of mc019-7.jpg is the graph of mc019-8.jpg translated to the down 9 units and right 6 units.
d.
The graph of mc019-9.jpg is the graph of mc019-10.jpg translated to the up 9 units and left 6 units.
 
 
What is the graph of the absolute value equation?
 

 20. 
mc020-1.jpg
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 
mc021-1.jpgmc021-2.jpgmc021-3.jpg
a.
mc021-4.jpg
c.
mc021-6.jpg
b.
mc021-5.jpg
d.
mc021-7.jpg
 

 22. 
mc022-1.jpg
a.
mc022-2.jpg
c.
mc022-4.jpg
b.
mc022-3.jpg
d.
mc022-5.jpg
 
 
Compare each function with the parent function.  Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?
 

 23. 
mc023-1.jpg
a.
(mc023-2.jpg, 8); x = mc023-3.jpg;
translated to the right mc023-4.jpg units and up 8 units.
b.
(mc023-5.jpg, 8) x = mc023-6.jpg;
translated to the left mc023-7.jpg units and up 8 units.
c.
(mc023-8.jpg, –8); x = mc023-9.jpg;
translated to the right mc023-10.jpg units and up 8 units.
d.
(mc023-11.jpg, –8); x = mc023-12.jpg;
translated to the left mc023-13.jpg units and down 8 units.
 

 24. 
mc024-1.jpg
a.
(mc024-2.jpg, 7);
x = mc024-3.jpg;
translated to the right mc024-4.jpg units and up 7 units
b.
(mc024-5.jpg, 7);
x = mc024-6.jpg;
translated to the left mc024-7.jpg units and up 7 units
c.
(mc024-8.jpg, –7);
x = mc024-9.jpg;
translated to the right mc024-10.jpg units and up 7 units
d.
(mc024-11.jpg, –7);
x = mc024-12.jpg;
translated to the right mc024-13.jpg units and down 7 units
 

 25. 
mc025-1.jpg
a.
(mc025-2.jpg, 5); x = mc025-3.jpg;
translated to the right mc025-4.jpg units and up 5 units, and reflected in the y-axis.
b.
(mc025-5.jpg, 5); x = mc025-6.jpg;
translated to the left mc025-7.jpg units and up 5 units
c.
(mc025-8.jpg, –5); x = mc025-9.jpg;
translated to the left mc025-10.jpg units, up 5 units, and reflected in the x-axis.
d.
(mc025-11.jpg, –5); x = mc025-12.jpg;
translated to the right mc025-13.jpg units and down 5 units
 
 
What is the graph of each inequality?
 

 26. 
3x + 2y > –5
a.
mc026-1.jpg
c.
mc026-3.jpg
b.
mc026-2.jpg
d.
mc026-4.jpg
 

 27. 
–2x + 2y £ –4
a.
mc027-1.jpg
c.
mc027-3.jpg
b.
mc027-2.jpg
d.
mc027-4.jpg
 

 28. 
mc028-1.jpg
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 

 29. 
mc029-1.jpg
a.
mc029-2.jpg
c.
mc029-4.jpg
b.
mc029-3.jpg
d.
mc029-5.jpg
 

 30. 
A doctor’s office schedules 15-minute appointments and half-hour appointments for weekdays. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week.
a.
mc030-1.jpg
c.
mc030-3.jpg
b.
mc030-2.jpg
d.
mc030-4.jpg
 
 
What is the graph of each absolute value inequality?
 

 31. 
y < |x + 2| – 2
a.
mc031-1.jpg
c.
mc031-3.jpg
b.
mc031-2.jpg
d.
mc031-4.jpg
 

 32. 
–|x – 1| > y – 5
a.
mc032-1.jpg
c.
mc032-3.jpg
b.
mc032-2.jpg
d.
mc032-4.jpg
 
 
Write an inequality for the graph.
 

 33. 
mc033-1.jpg
a.
y ³ |x – 3| – 4
c.
y ³ |x + 3| – 4
b.
y £ |x + 3| – 4
d.
y ³ |x + 3| + 4
 



 
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