Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = (x - 4)4 + 3 

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Answer: D

Mathematics

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Graph the function.f(x) = 

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Mathematics

Use the discriminant to determine whether the solutions for the equation are two rational numbers, one rational number, two irrational numbers, or two nonreal complex numbers. Do not actually solve.w2 + 5w + 8 = 0

A. two nonreal complex numbers B. two irrational numbers C. one rational number D. two rational numbers

Mathematics

Sketch the derivative of the graph.?

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D.

Mathematics

Solve the problem involving modeling with polynomial functions.A survey team measures the concentration (in parts per million) of a particular pollutant in the atmosphere. On a typical day, the concentration of the pollutant at time t (in hours) after midnight is given by  g(t)  = -0.008t4 + 0.12t3 - 0.18t2 + 0.04t where 0 ? t ? 24. Use a graphing calculator to graph y = g(x) the window [0, 24] by [0, 30]. A concentration greater than 20 parts per million is considered pollution. Which is the best estimate for the period during which the atmosphere is polluted?

A. 10:00 a.m. to 12:30 a.m. B. 8:30 a.m. to 11:30 a.m. C. 9:30 a.m. to 2:00 p.m. D. 11:30 a.m. to 1:30 p.m.

Mathematics