Find the equation that the given graph represents.
A. f(x) = -x3 - x - 4
B. f(x) = 2x4 - x2 + 4
C. f(x) = -x4 + x2 - 3x - 4
D. f(x) = 2x3 + x2 - 3x + 4
Answer: D
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The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = x2 - 6x + 1; associated equation: 0 = 2x - 6
A. (3, 28) B. (-3, -8) C. (-3, 28) D. (3, -8)
Decide whether the given functions are inverses.f = {(4, 8), (8, -2), (-2, -7)}g = {(8, 4), (-2, 8), (-7, 4)}
A. Yes B. No
Solve the problem.A pipette has the shape of a right circular cylinder with a right circular cone at its end. The pipette is used to inject a nutritive suspension into a colony of microbes. The volume, in cubic centimeters, of a pipette of height h and radius r, both in centimeters, is given by the polynomial 
. How much nutritive suspension can be provided if the pipette has a radius of 0.2 cm and a height of 3.1 cm? Use 3.14 for ? and round to the nearest tenth cubic centimeter.
A. 8 cm3 B. 0.3 cm3 C. 1.1 cm3 D. 0.5 cm3