A graphing calculator is recommended. Let f ( x ) = 3 x 4 14 x 2 + 5 x 11. (a) D

Question

A graphing calculator is recommended.

Let f(x) = 3x4 14x2 + 5x 11.

(a) Draw the graph of f in an appropriate viewing rectangle. (which graph below is correct?)

(b) Is f one-to-one? Yes or No

(c) Find the local maximum and minimum values of f and the values of x at which they occur. State each answer correct to two decimal places.

(d) Use the graph to determine the range of f. (Enter your answer using interval notation. Round your answers to two decimal places.) ______________


(e) Find the intervals on which f is increasing and on which f is decreasing. (Enter your answers using interval notation. Round your answers to two decimal places.)

increasing _________________

decreasing ________________

Explanation / Answer

b. from the graph we can say that f is not one to one.

c. Local maximum is none here.

local minimum is at (1.43,-19.93) and (0.18,-10.55)

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