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find the interval in which the function is negative.

f(x) = x^2 - 3x - 4

I. (- infinite, -1)

II. (-1, 4)

III. (4, infinite)

A. III only

B. II only

C. I, II

D. I, III​


Sagot :

Answer:

  B. II only . . . (-1, 4)

Step-by-step explanation:

The function factors as ...

  f(x) = (x +1)(x -4)

The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...

  (-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)

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