FOR #1 THROUGH #4, SOLVE THE GIVEN EQUATION.
1. Solve | x | = 8.
2. Solve | x | = -8.
3. Solve | 7x – 4 | = 8
4. Solve | 7x – 4 | - 2 = 6
5. Solve | x | < 10, and graph the solution set.
6. Solve
, and graph the solution set.
7. Solve | x
2
– 7x + 12 | > -4
8. Solve | x + 2 | < -1
9. Consider the polynomial P(x), shown in both standard form
and factored form.
(a)

Which sketch illustrates the end behavior of the polynomial
function?

(b)
State the y-intercept.
(c)
State the zeros of the function.
(d)
State which graph below is the graph of the function.
A.
B.
C.
D.

10. Find the zeros of f(x) = 3x
3
+ x
2
– 12x – 4
11. Find the zeros of f(x) = (x – 4)
5
and determine the multiplicity of each
zero.
12. For each equation, please determine the leading term, the
leading coefficient and the degree of the polynomial. Then,
classify the polynomial function as constant, linear, quadratic,
cubic, or quartic.
(a) f(x) = -5
(b) f(x) = -5x
2
+ 4x
3
– 10x
4
(c) f(x) = 2 – x
3

13. For f(x) = x
10
– 2x
5
+ 4x – 2, please state the maximum number of real
zeros that it can have, the maximum number of x-intercepts
that the graph
of the function can have, and the maximum number of
turning points that the
graph of the function can have.
14. Using the intermediate value theorem, determine, if
possible, whether
f(x) = 2x
5
– 7x + 1 has at least one real zero between 1 and 2.
15
.
(a)
Find the vertical and horizontal asymptote
(
s
)
of

(a)
Based on your answer in (a), this means that as
x approaches infinity, then f( x ) approaches
which number?
16. Find the horizontal asymptote
(
s
)
of
17. Determine the oblique asymptote of
.
18. The function
gives the body concentration N(t), in
parts per million, of a certain dosage of medication after
time t, in hours.

a)
Find the horizontal asymptote of the graph and replace the ??
with an appropriate number:
N(t)
à
?? as t
à
b)
Explain the meaning of the answer to part (a) in terms of the
application.
19. Solve x
2
< 4
20. Solve