UMUC MATh107 exam 2

Math 107
Section 6384 – Exam #2 – Due February 7, 2015 – page 1 of 6

Follow these directions
carefully.

•
This
exam is due by 11:59 PM Eastern time on February 7, 2015.
o
This
is an important assignment, counting 12% of your course grade.
o
Submit
this assignment in your assignments folder by the due date.

•
Answer
all the questions.There
are 38 problems on 6 pages.
o There
are 135 points possible. I will grade
all the problems and convert your total score to a

percentage out of 100.

o No
work is requiredfor the MULTIPLE CHOICE
SECTIONor for the SHORT ANSWER SECTION. There isno
partial credit for these problems, soplease work carefully.

o
Show all workfor the LONG ANSWER
SECTION.There is partial credit for these problems.

•
Answer
these questions on separate pages (not these sheets).
o
Use a separate document to
solve these problems. You may type your answers
in a document (like Word or Excel) or handwrite your answers and scan them in –
up to you.
o Submit your assignment asan attachment.
Use filename
1501Math107_6384_E2_LastName_FirstName.*
•
You must work on your own,
consulting no other person except for me. You can of
course use yourbook, calculator, and any other resources, besides
people, that you may have at your disposal.

MULTIPLE
CHOICE SECTION. Choose the best
alternative. (2 pts
each)

1.
On
what interval is the function below constant?
.jpg”>

a)

(?4,?1)

c)

(?1,1)

b)

(1, 2)

d)

Not constant on
any interval

2.
What
is the slope of any line perpendicular tox+2y=3?

a)

2

c)

?2

b)

1 / 2

d)

?1 / 2

3.
The
center of the circle(x+5)2+(y+4)2=17 is(?5,?4).

T)
True

F)
False

4. An equation of the
line with slope 3 passing through(?3,10) is noty=
3x+10. Rather,
it isy=
3x+19.

T)
True

F)
False

Math 107
Section 6384 – Exam #2 – Due February 8, 2015 – page 2 of 6

5.
The
line joining(?5, 5) and(?5,?5) has undefined slope.

T)
True

F)
False

6.

The
ordered pair(?5, 3
/ 4) is on the graph of the line8y?3x=21.

T)

True

F)

False

7.

A horizontal line containing the
point(2,
3) has
equationy=3.

T)
True

F)
False

8.
Determine
the domain and range of the function below.
.jpg”>

a)

Domain:(?5,?3)?(?3, 5)

Range: (?3,2)?(2, 4)

b)

Domain:[?5, 5]

Range: [?3, 4)

c)

Domain:[?5,?3)?(?3, 5]

Range: [?3,2)?(2, 4)

d)

Domain:(?5, 5)

Range: (?3, 4]

9.

Suppose that

f(x)= x2?3x?2andg(x)=4x+1.Determine(f?g)(?2).

a)

?7

c)

15

b)

1

d)

4

10.

Suppose that

f(x)= x2?5

andg(x)=

What is the domain of(f/g)(x)?

x?1.

a)

(??,1)? (1,?)

c)

(??,?

)
? (?

5

5, 5 )? ( 5,?)

b)

[1,?)

d)

(1,?)

11.

Find an equation
of variation in which y varies inversely as x andy=15 whenx=10.

a)

y=

2

x

c)

y=

150

3

x

b)

y=

3

x

d)

y=6x

2

.jpg”>

Math 107
Section 6384 – Exam #2 – Due February 8, 2015 – page 3 of 6

12.
Write an equation for a function that has the
shape ofy=
x, but is shifted right 2 units and down 6
units.
.jpg”>.jpg”>

a)

f(x)=

x+2

? 6

c)

f(x)=

x?2

+ 6

b)

f(x)=

x+2

+ 6

d)

f(x)=

x?2

? 6

13.
The
function f(x)=x3 is odd.

T)
True

F)
False

14.
The
graph ofy=1?x2 is symmetric about the y-axis, but not
the x-axis.

T)
True

F)
False

15.
The
graph of the relation below is the graph of a function.
.jpg”>

T)
True

F)
False

16.
The
relation{(?2,0),(?1,1),(?1, 3)} is a function.

T)
True

F)
False

17.
The
width of a rectangular blanket is 4 less than twice the length l.
Express the area of the blanket as a function of l.

a)

A(l)=4l? l2

c)

A(l)=3l?4

b)

A(l)=2l2?4

d)

A(l)=2l2?4l

SHORT
ANSWER SECTION.Be careful; there is no partial credit for these
questions.

(3 pts each)

For
questions 18 and 19,find
the distance between(1,?10)and(3,?6) :

18.
In
simplest radical form (no decimals).

19.
To
one decimal place. (Make sure you follow
the directions here.)

Math 107 Section
6384 – Exam #2 – Due February 8, 2015 – page 4 of 6

Questions
20 and 21involve
the circle with equation(x+5)2+(y?3)2
=17.

20.
Determine
its center.

21.
Determine
its radius.

22.
Find
the slope of the line containing the points(?5,
8) and(5, 4). Express your answer as a
fraction in simplest form.

23.
A car travels at a constant rate of 40 miles
per hour for 45 minutes. How far did the
car travel?

Questions 24 and 25involve the function
graphed below.
.jpg”>

24.
On
what interval(s) is the function increasing?
Express your answer in interval notation.

25.
On
what interval(s) is the function decreasing?
Express your answer in interval notation.

26.

Find the domain
of the function

f(x)=

x?3

and write your answer
in interval notation.

3×2? 2x

? 5

Questions 27, 28 and 29
involve the function defined by

x2+1

x?5

f(x)=

2x

27.
.jpg”>Find
f(?2).

28.
Find f(0).

29.
Find f(?2)+f(18).

for x?
?2, for? 2.jpg”>

You’re
given the information that Graphs 1 and 2 are piecewise linear, and that Graph
2 is a transformation of Graph 1 using horizontal and vertical translations.Each numbered and lettered
part isworth 3 points. (So Question 33 is worth 12 points, 3 points per
part.)

30.
On
the interval?3?x?
?1, what is a formula for f(x)?

31.

On the interval?1?x?1, what is a formula
for f(x)?

32a
and 32b. Use your answers
to #30 and #31 to fill in the blanks.

?3? x