Math 150 – Fall 2015: Quiz 5 – Sections 4A, 4B, 4C
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. (15 pts) Find the domain of f (x) =
√
2−x
x2 −x−12 .
Give your answer in interval notation.
2. (15 pts) Write the formula for the difference quotient and use it to find the difference quotient for
f (x) = −3x2 + 4x − 2.
Difference Quotient Formula:
Simplified Answer:
3. (10 pts) The function g(x) = − 13 (x − 4)3 − 5 is a transformation of the function f (x) = x3 . Describe
the transformations, in order, to get g(x) from f (x).
1)
2)
3)
4)
4. (15 pts) Together Ryan and Natalie can sow 5 pounds of wildflower seeds in 7 hours. It would take
Natalie by herself one our longer than it would take Ryan by himself to sow the seeds. How long would
it take each of them individually to sow 5 pounds of wildflower seeds?
5. (15 pts) A drone travels at a constant speed with a 10 mile per hour tailwind for 30 minutes and then
returns against the wind on the same path in 36 minutes. What is the constant speed, in miles per
hour, of the drone in still air?
6. (10 pts) Using the graph of f (x) below, graph the function g(x) = 2f (x + 3) + 1. Describe the
transformations used to get g(x) from f (x).
f (x)
g(x)
7. (2 pts) Is f (x) in Problem 6 even, odd, or neither?
(2 pts) On what interval(s) is the function f (x) in Problem 6 increasing?