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)


Answer: B

Mathematics

You might also like to view...

Solve the equation on the interval 0 ? ? < 2?.cos ? = sin ?

A.
B.
C.
D.

Mathematics

Find the area of the region under the graph of the function ? ? on the interval .

What will be an ideal response?

Mathematics

Find an equation of the hyperbola centered at the origin which satisfies the given conditions.A hyperbola with vertices (±4, 0) and foci (±7, 0)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

The sizes of two matrices are given. Find the size of the product AB and the size of the product BA, if the given product can be calculated.A is 2 × 4; B is 4 × 2.

A. AB is 2 × 2; BA cannot be calculated. B. AB cannot be calculated; BA is 4 × 4. C. AB is 4 × 4; BA is 2 × 2. D. AB is 2 × 2; BA is 4 × 4.

Mathematics