**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.**

**Answer the question.**

1) If the vertex of the graph of a quadratic function lies
in quadrant IV and the graph opens

up, how many x-intercepts does the graph have?

** MULTIPLE CHOICE . Choose the one alternative that best
completes the statement or answers the question.**

**Evaluate the discriminant, and predict the type and
number of solutions .**

A) 3, two different irrational

B) 3, two different rational

C) 0, one rational

D) -3, two different imaginary

** Solve the inequality analytically. Support the answer
graphically. Give exact values for endpoints .**

**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.**

**Provide an appropriate response.**

4) Sketch the graph of a quadratic function for which the
value of the discriminant is

positive, the vertex lies in quadrant IV, and the graph opens upward.

**MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.**

5) Fill in the blanks to complete the statement.

The equation g(x) = 0 has ____ real solution(s). The value
of the discriminant of g(x) is ____ .

A) 1; positive

B) 2; 0

C) 0; negative

D) 1; 0

6) Fill in the blanks to complete the statement.

The equation f(x) = 0 has ____ real solution(s) and ____
imaginary solution(s).

A) 1; 1

B) 2; 0

C) 0; 2

D) 0; 0

**Find the correct end behavior diagram for the given
polynomial function .**

**Find the equation that the given graph represents.**

**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.**

**Provide the appropriate response.**

10) Sketch the graph of a polynomial function which has a
negative y -intercept, one local

maximum and one local minimum, but has no absolute extrema.

**MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.**

11) Fill in the blanks with the words "odd" and "even". A
polynomial function of ___ degree must have

at least one real zero, but a polynomial of ___ degree may have no real zeros .
The range of a

polynomial function of ___ degree is (-∞, ∞).

A) odd; even; odd

B) even; odd; odd

C) odd; even; even

D) even; odd; even

**Solve the polynomial inequality by graphing .**

**Provide the appropriate response.**

13) Suppose that the complete graph of a cubic function
shows that -6, 5, and 6 are the x-intercepts,

and the end behavior is described by f(x) → ∞ as x → -∞ and f(x) → -∞ as x → ∞.
Find the solution

set of f(x) < 0.

A) (-∞, -6) ∪ (6, ∞)

B)(-∞, -6) ∪ (5, 6)

C) (-6, 6)

D) (-6, 5) ∪ (6, ∞)

**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question**

**Solve the equation for all complex solutions , giving
exact forms in your solution set .**

**Write the solutions in interval notation below**

f(x) = 0 __________________________________________

f(x) < 0 __________________________________________

f(x) > 0 __________________________________________

16) Solve the inequality x^3 — 9x < 0.

Write your solution in interval notation

__________________________________________

Graph on the number line

____________________________________________________________

**MULTIPLE CHOICE. Choose the one alternative that best
completes the statement or answers the question.**

**Solve the problem.**

17) A farmer has 1400 feet of fence with which to fence a
rectangular plot of land. The plot lies along a

river so that only three sides need to be fenced. Estimate the largest area that
can be fenced.

Write the function f(x) that models the area of the fence.

**SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.**

18) Based on what we have learned about polynomial
functions, write the factored form of this

function

f(x) =
_____________________________________________________