This preview shows pages 1–3. Sign up to view the full content.
Math 110, Section:
Exam #
Instructor’s Name:
Student’s Name:
By signing my name below, I agree that I am following all rules and regulations set forth by the Code
of Academic Integrity. Furthermore, I agree that I am following all rules set by my instructor and by the
course policy for this exam. This includes ensuring that all calculator programs except possibly EVALUATE
and QUADRATIC FORMULA have been deleted.
Signature:
Date:
1
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentDirections
1. SHOW YOUR WORK on problems that require justiﬁcation. Partial credit will only be given for work
shown.
2. You may use calculators.
Good luck!
1. Which of the following equations determine
y
as a function of
x
? Circle the correct answer. (No work
required).
(1)
x
+
y
2
= 9
(2)
x
+
y
3
= 9
(3)
xy

2 + 5
x
2
y
= 0
(A) 1 and 2 only
(B) 2 and 3 only
(C) 2 only
(D) all of them
Solution:
We look for those equations that can be solved for
y
in terms of
x
. (1) cannot be solved for
y
, as we
would have a + or

square root, i.e. one input would give two outputs. However, both (2) and (3) can be
solved for
y
in terms of
x
. The answer is
(
B
)
2. Given
g
(
y
) = 3
y
2

y
+ 1, ﬁnd:
(a)
g
(
t
+ 2)
(b)
g
(
t
) +
g
(2)
(c)
g
(
t
) + 2
(d)
g
(3
r
)
Solution:
(a)
g
(
t
+ 2) = 3(
t
+ 2)
2

(
t
+ 2) + 1 = 3(
t
2
+ 4
t
+ 4)

t

2 + 1 = 3
t
2
+ 12
t
+ 12

t

1 =
3
t
2
+ 11
t
+ 11
(b)
g
(
t
) +
g
(2) = 3
t
2

t
+ 1 + (3)2
2

2 + 1 =
3
t
2

t
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '07
 carlson
 Math

Click to edit the document details