Sketch the graph that possesses the characteristics listed. f is concave down at

Question

Sketch the graph that possesses the characteristics listed. f is concave down at (1,4), concave up at (5, - 6), and has an inflection point at (3, - 1). Choose the correct graph below. Find the relative extrema of the function, if they exist. List each extremum along with the x-value at which it occurs. Then sketch a graph of the function. g(x) = 8x/x2 + 16 Identify all the relative minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. . The relative minima are .There is no relative minimum. Identify all the relative maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. . The relative maxima are .There is no relative maximum. Choose the correct graph below. Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. f(x) = x3 - 3x; [-3,1] The absolute maximum value is at x = . The absolute minimum value is at x = .

Explanation / Answer

1.graph of function is option OC.

2.The relative minima is -1 at x=-4

3.The relative maxima is 1 at x=4

4.Correct graph is OA.

5.The absolute maximum value is 2 at x=-1.

   The absolute minimum value is -18 at x=-3.

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