Find an equation of the parabola described.Focus at (6, 0); vertex at (0, 0)
A. x2 = 24y
B. x2 = 6y
C. y2 = 6x
D. y2 = 24x
Answer: D
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If the function is one-to-one, list the inverse function by switching coordinates or inputs and outputs.f = {(5, 5), (-5, -5), (8, 1), (-8, -1)}
A. f-1 = {(5, 5), (-5, -5), (1, 8), (-1, -8)} B. f-1 = {(-1, 8), (-5, -5), (5, -5), (1, -8)} C. not one-to-one D. f-1 = {(-1, 8), (8, -5), (5, 5), (1, -8)}
Match the function with the graph.
A. g(x) = (-x + 6)2 B. g(x) = (-x - 6)2 C. g(x) = -x2 - 6 D. g(x) = -x2 + 6
A function is given. (a) Find all the local maximum and minimum values of the function and the value of x at which each occurs. (b) Find the intervals on which the function is increasing and on which the function is decreasing. State each answer correct to two decimal places.
U(x) = 4(x³ - x)
Divide. Assume all variables are nonzero.
A. 4x2 - 6 B. 4x3 - 48x C. 4x3 - 6x D. 32x3 - 6x