Test 4 MAT 1101 Spring 2009 Name ______________________
This test is take-home, so you may use your notes, book, Excel, MathGV, etc. This test is due back to me
at the beginning of class on Tuesday, June 9, 2009. Late tests will not be accepted. Don’t forget to simplify
all of your answers and attach your work!
1. Find the vertices of the functions: 2. Graph the following function: f(x) = x2 – 8x + 12
a) f(x) = 3x2 – 24x + 31
b) f(x) = 2.9(x – 8.2)2 – 9.3
3. Solve for x, if possible: 3x2 – 7x = 9 4. Graph the following function: f(x) = – 2(x – 1)2 + 7
Given f(x) = 2x + 8 and g(x) = 4x – 5, find the following.
5. (f – g)(x) 6. (f ◦ g)(x) 7. (f • g)(x) 8. (f + g)(x)
9. The number of CDs sold in a given year can be approximated by D(x) = 2x3 – 27x2 + 172x + 391, where x
represents the number of years since 1992. The number of cassettes sold in a given year can be approximated by
C(x) = 2x3 – 104x2 + 1234x + 2900.
a) Were there more CDs or cassettes sold in 1995? b) Find the polynomial that represents how many
more CDs than cassettes were sold in a given year.
10. A health food company determines that its daily profit P(x) for selling x bottles of a new vitamin is modeled
by P(x) = 84x – 0.5x2.
a) What is the profit if 24 bottles are sold on a day? b) How many bottles would the company need to
sell on a day to maximize their profit?
x y
x y
