Solve the problem.Consider the quartic functionf(x) = ax4 + bx3 + cx2 + dx + e, a ? 0.Must this function have at least one critical point? Give reasons for your answer. (Hint: Must 
for some x?) How many local extreme values can f have?
What will be an ideal response?
Yes. The derivative is cubic: 4ax3 + 3bx2 + 2cx + d. The derivative approaches -? as x approaches -? and it approaches ? as x approaches ?. By the Intermediate Value Theorem, f '(x) must equal zero at at least one point on the interval -? ? x ? ?.
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Solve the problem.If a radio costs $77, find the total cost of 85 radios.
A. $6552 B. $6545 C. $169 D. $162
Perform the operation. Write the answer as a fraction in lowest terms.
+ 
A. 
B. 
C. 5
D. 
Simplify the expression.-22p - 11 + 17p - 13
A. -5p + 24 B. -39p - 24 C. 5p - 24 D. -5p - 24
Solve the problem.A rectangular piece of tin has an area of 450 square inches. A square of 2 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 572 cubic inches, what were the original dimensions of the piece of tin?
A. 11 in. by 24 in. B. 13 in. by 28 in. C. 17 in. by 32 in. D. 15 in. by 30 in.