Question: let f(x) be a differentiable function defined for all real numbers. The table below gives the value of f(x) and its derivative for several values

let f(x) be a differentiable function defined for all real numbers. The table below gives the value of f(x) and its derivative for several values of x

x -3 -2 -1 0 1 2 3

f(x) 8 5 0 1 0 5 8

f'(x) -6 -4 -2 0 2 4 6

which of the following statements are true?

  1. at x=2, function is increasing
  2. tehre is a relative minimum in the interval on -1 less than equal to x less than equal to 1, but not neccesarily at x=0
  3. there is a relative maximum in the interval on -1 less than equal to x less than equal to 1

A. 1 only

B 2 only

C 3 only

D 1 and 2

E 1, 2 and 3

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