Using only the values given in the table for the function, f(x) = x3 – 3x – 2, what is the interval of x-values over which the function is decreasing?

(–4, 1)(–4, –1)(–1,1)(–1, 2)

Hence, the interval in which function f(x) is decreasing  is:

(-1,1)

We have to find the intervals on which the function f(x) is decreasing.

i.e. with the increasing value of x the function f(x) must decrease or we can say the value of f(x) decreases with the increasing value of x.

Clearly from the set of values given we can see that the function f(x) decreases in the interval:

(-1,1) ( since at x=-1  f(x)=0

and at x=1 f(x)=-4 )

Hence, the interval is:

(-1,1)

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step-by-step explanation:

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