Find the range of the quadratic function in interval notation.f(x) = -(x + 4)2 + 5

A. (-?, 5]
B. (-?, 4]
C. [-4, ?)
D. [5, ?)


Answer: A

Mathematics

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Solve the problem.A poll is conducted in a U.S. city to determine voting preferences prior to a presidential election. The following probabilities were obtained from the relative frequencies: P(D) = 0.51, P(M ? D) = 0.22, P(M ? D) = 0.77 where M represents male and D represents a person who plans to vote Democrat.Find P(M' ? D).

A. 0.29 B. 0.74 C. 0.49 D. 0.52

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Solve the problem.Draw a triangle so that tan  = u. The hypotenuse of the triangle with have length . Use the illustration and the double angle formulas to write sin ? and cos ? in terms of u. 

What will be an ideal response?

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Provide the proper response.Show that a function of the formf(x) = ax4 + bx3 + cx2 + dx + e has no points of inflection whenever 8ac > 3b2.

What will be an ideal response?

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For the pair of functions, find the indicated sum, difference, product, or quotient.Let f(x) = x + 3 and g(x) = -2x2 + 14x - 4. Find (f ? g)(-2).

A. -40 B. 200 C. 60 D. -28

Mathematics