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Graph of f

The graph of f’ , the derivative of the function f, is shown above: Which of the following statements must be true?

L f has a relative minimum at I = -3_ II. The graph of f has & point of inflection at I = -2 III: The graph of f is concave down for 0 < 1 < 4

A_ L only

B IL only C III only D. I and IL only E. Land IIL only

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02:43

Let f be function defined on the closed interval -2 <x <6 with f) = 3. The graph of f” the derivative of the function f is shown on the right: The graph consists of three line segments. Which of the following statements must be true?Graph of f’f(4) -3 The graph of f has positive slope and is concave up on the interval (0,5).III The graph of has points of inflection at x = 0 and x = 5_L onlyB) I onlyand III onlyD) [, II and

05:51

Graph of fThe graph of f’ the derivative of the function f is shown above: Which of the following statements must be truc? I:f has relative minimum at r=3. II The graph of has point of inflection at T = 22_ III. The graph of f is concave down for 0 < x < 4

04:01

y=f(r)5. The graph of f’ the derivative of function f , is shown above. If f is & twice differentiable function; which ofthe following statements must be true?f(c)> f(a)The graph of f is concave up on the interval b <x<c III, f has & relative minimum at x=c_IonlyIonly(C) III onlyIand II onlyII and III only

02:21

The figure shows the graph of f’ the derivative of function f The domain of f is the interval -4 < x < 4- Which of the following are true about the graph of f? At the points where -3 and X = 2 there are horizontal tangentsgraph of the derivative ofAt the point where x there is relative minimum point III. At the point where =3 there is an inflection point:II onlyII only(C) I and III only(D) I, II, MI

Transcript

In this question there, a vista function f of x, such that the graph of the derivative of the function that is f dash x, is given by the following figure. Now, using this figure, we need to check that which of the following. Given statements is true. The first given statement is that f of x has a relative minimum x is equal to negative of 3. The second given statement is that s of x has a point of infection at x is equal to 2 or negative of 2. The third given statement is that as saxis concave down in the interval 0 to so now, we need to check which of the following. Given statement is true. First, the first statement says that relative minima x is equal to negative of 3. This is the point at x is equal to negative of 3, since f dash of x is equal to 0. This is this is a critical point. The…

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