Selected values of a continuous function f are given in the table below. What is the fewest possible number of zeros of f in the interval [0,5]?

Selected values of a continuous function f are given in the table below What is the fewest possible number of zeros of f in the interval 05 class=

Respuesta :

Using function concepts, it is found that the fewest possible number of zeros of f in the interval [0,5] is 3.

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  • When a function f(x) equals zero, that is, [tex]f(x) = 0[/tex], it is said that x is a zero of function.
  • If in an interval the function changes it's signal, necessarily there is at least one zero on this interval.

On the table, f(x) changes it's signal three times:

  • From positive to negative, between 0 and 1.
  • From negative to positive, between 2 and 3.
  • From positive to negative, between 3 and 4.

Thus, the fewest possible number of zeros of f in the interval [0,5] is 3.

A similar problem is given at https://brainly.com/question/24450834

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