F
Math 1090.04 Qniz 09
Spring 2013
Student ID Number:
Name
Instructions:
o
Please remove headphones and hats during the quiz
o
Show all work, as partial credit will be given where appropriate. If no
work is shown, there may be no credit given.
• All final answers should be written in the space provided on the quiz and
in simplified form. When needed give your answer as an exact amount,
, except for dollar amounts
2
i.e., a fraction or symbolic expression like e
which should be rounded to the nearest cent.
o
Calculators are not allowed on this quiz.
• If your phone is out during the quiz it will be considered a
cheating offense put your phone away!
-
• When you have completed this quiz, place your homework on top of your
quiz and remain quietly at your desk. All homework and quizzes will be
collected together.
/
•I
—
:_t.A.
2
3 +x
x
1. Given: h(x)
possible.
—
20 March 2013
Page 2 of 4
Quiz 09
MatlilO9O.004
6z:. Sketch the polynomial below including as much detail as
3
x
X-
x
=
x
x(x_3(Y÷2)
)?= C, -2, ‘3
3
clei-ce
/veIwô eJias:
pOrLJmi&_ 1fla,7J
* rfl9
5/n
/is
‘
PO h
10
S
-10
S
-S
y
-S
-10
MathlO9O.004
Quiz 09
2. Given the Rational Function: g(r)
=
Page 3 of 4
x
+
2
x—6
x—3
(a’) What is the Domain of this function?
answer the following questions:
XtJR
(b) What are the Roots of this function?
-
.
Y43
o)
‘
(x+3(’X(x3)
—
(c) What is the y
20 March 2013
intercept of this function?
(y÷3)(2’)C
(o, )
-
(ci) ‘Limits”
AsTo:f(z:)
--
As—oo:f(x)
X
(e) “Events”: What are the x values of the “Events” described by this system?
—32,3
(f) Graph these events on a number line below and determine whether the function
is positive or negative in each region.
I
SHOW YOUR WORK
(—jo)
(-/0
-
(
(2.)=
(z.c(22)
(.-3)
(Io4-&(Io-2N
G ®
Quiz 09
MathlO9O.004
.
Page 4 of 4
3. Based on your answers to the questions above:
(a’) What are the vertical asymptotes, if any, of this system?
V.A:
X=3
(b) What are the horizontal asymptotes,if any, of this system?
.A: or!
(c) In what region(s) is the function positive?
e-(-- —3,
2)
(3,00)
(d) In what regions(s) is the function negative?
(,3’)
4. Now that you have answered the questions above, graph the function:
20 IVlarch 2013