Respuesta :

Answer:

C

Step-by-step explanation:

The points at which the graph crosses the x axis are called the zeros of the function. The zeros can be found by which number plugged in for x would result in at least one zero. In this case if you plug 5 into (x-5) you get zero, so the entire function is zero. Likewise for 2 in (x-2) and -1 in (x+1). If you look at the graph, 5, 2 and -1 are points at which the graph crosses the x axis and therefore are zeros.

The function that represented the graph is f(x)= (x-5)(x-2)(x+1) .

The correct option is (C)

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

given graph, it is clear that

the graph intersect the x-axis at 5, 2,- 1.

Thus, 5, 2 and -1 are zeros of the given function.

If z is a zero of a function,

then (x-z) is a factor of f(x).

So, (x-5) is the solution of the function

Similarly, (x-2) and (x+1) is the solution of the function.

Thus,

f(x)= (x-5)(x-2)(x+1) is the function.

Learn more about this concept here:

https://brainly.com/question/21084869

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