NAME
DATE
2
PERIOD
Mid-Chapter Quiz Review
SCORE
(Lessons 2-1 through 2-3)
Part I
Write the letter for the correct answer in the blank at the right of each question.
1. The graph of f(x) =
x5 is shown.
What is the domain of the function?
8
y
4
A (−∞, ∞)
C (−∞, 0) or (0, ∞)
B (0, ∞)
D (−∞, 0)
−8
−4
O
8x
4
1.
−4
2. Solve
F 9
.
H −3
G 5
J −13
2.
3. Which is the end behavior of the graph of
f(x) = −3x4 − x3 + 2x2 – 5x + 12?
A
and
B
and
C
and
D
3.
and
4. At most, how many turning points can the graph of
f(x) = x3 − x2 – x + 1 have?
F 1
G 2
H 3
4.
J 4
Part II
5. Describe where the function in Question 1 is increasing or decreasing.
5.
6. TUITION The tuition for a freshman entering college for the
number of years since 2004 is given in the table below. Write a
polynomial function to model the data set.
Year
Tuition ($)
1
2
8900
9700
3
4
5
6.
10,750 11,580 12,700
7. Use the model from Question 6 to predict the tuition in 2012.
7.
8. Determine a power function to model the data in Question 6.
8.
9. Use the Factor Theorem to determine if (x – 2) and (x + 4) are factors
of f(x) = x3 – 6x2 + 11x – 6. Use the binomials that are factors to write
a factored form of f(x).
9.
10. For f(x) = 4x4 – 2x3 + x2 + 3x – 15, find f(5) using synthetic substitution.
Chapter 2
41
10.
Glencoe Precalculus
Assessment
−8