Math 150 – Fall 2015: Quiz 6 – Section 5B and Trig Readiness
Group Worksheet (5 pts):
Yes or No Section Number(5 pts):
(circle yes if this is the worksheet your group would like to be graded)
If this is NOT the group worksheet, print your name here:
(-10 pts if you don’t turn in an individual worksheet with your name in this blank)
For BOTH group and individual worksheets, print the names of all members of the group who attended lab
and contributed to the worksheet here (10 pts):
Directions: You may not use your class notes, book, calculator, cell phone, any electronic devices, etc.
Your grade will be determined by your final answer and the work to justify it. You must show all your work
to receive credit. Your group should turn in one group worksheet, and each individual should turn in their
own worksheet. Only the group worksheet will count as part of your grade.
1. (12 pts) Find the domain, x-intercepts, and y-intercepts for f (x) =
5x3 −13x2 −6x
x3 −3x2 −4x+12
Domain:
x-intercepts:
y-intercepts:
2. (10 pts) Using the generalized technique, determine the end behavior of the function f (x) =
(You must show your work).
x7 −5x10 +7x−9
6x3 +13x12 +9x2
3. (12 pts) Find the horizontal asymptotes, if there are any, for the following equations (you may use the
theorem, and you do not need to show work).
.
Function
Horizontal Asymptote
(a) f (x) =
7x3 +3x94 −5x56
16x4 −14x97 +7x74
(b) f (x) =
x10 +8−15x27
2x14 +7x27 −4
(c) f (x) =
7x−5x4
3x2 −6x+9
4. (21 pts) Use the graph of f (x) below to answer all the questions.
Domain:
Range:
x-intercepts:
y-intercepts:
Horizontal Asymptote(s):
Vertical Asymptote(s):
Holes:
5. (12 pts) Find all vertical asymptotes and holes for the function f (x) =
zeros of the function.
2x3 −3x2 −35x
3x4 −19x3 +20x2 .
Also, find any
Vertical Asymptotes:
Holes:
Zeros:
6. (18 pts) For the following angles, determine the reference angle in radians and whether x and y will be
positive, negative, or zero, where x and y are the coordinates where the terminating side of the angle
intersects a circle at the origin.
Angle
Ref. Angle
x
y
Angle
π
3
5π
3
3π
4
3π
2
7π
6
13π
4
Ref. Angle
x
y