Find the extreme values of the function and where they occur.y = x3 - 12x + 2

A. Local maximum at (2, -14), local minimum at (-2, 18).
B. Local maximum at (0, 0).
C. Local maximum at (-2, 18), local minimum at (2, -14).
D. None


Answer: C

Mathematics

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (-?, -3) and (3, ?); concave down on (-3, 3) B. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) C. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0) D. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (-?, -3) and (3, ?); concave up on (-3, 3)

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Factor the given factor from the expression.x3/8;  x7/8 + 3x3/8

A. x1/8(x4/8 + 3) B. x1/8(x7/8 + 3) C. x3/8(x1/2 + 3) D. x3/8(x-1/2 + 3)

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Provide an appropriate response.Divide and simplify: (4x3 + 5x  - 3) ÷ (2x + 1)

What will be an ideal response?

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Use the graph of the rational function f(x) to complete the statement.As x?-1+, f(x)? 

A. -1 B. 2 C. +? D. -?

Mathematics