Determine where the given function is concave up and where it is concave down. f(x) = (x + 3)2/3 - 5

A. Concave down on (-?, -3), concave up on (-3, ?)
B. Concave down on (-?, ?)
C. Concave up on (-?, -3) and (-3, ?)
D. Concave down on (-?, -3) and (-3, ?)


Answer: D

Mathematics

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Tell whether the statement is true or false.Let A = {2, 3, 4, 5, 6, 7}, B = {4, 6, 8}, C = {2, 3, 5, 7}, D = {2, 7}, and {6, 8} ? B

A. True B. False

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Simplify the expression. Assume all variables represent positive real numbers.

A. 4x
B. 4x
C. 4x 
D. x

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Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points. ? ?

A. Symmetric with respect to

?


B. Symmetric with respect to

?


C. Symmetric with respect to

?


D. Symmetric with respect to

?


E. Symmetric with respect to

?


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Find the focus and the directrix of the parabola.(x + 5)2 = -32(y - 4)

A. Focus: (-13, -4); directrix: y = 12 B. Focus: (-5, -4); directrix: x = 12 C. Focus: (-5, 12); directrix: y = -4 D. Focus: (-5, -4); directrix: y = 12

Mathematics