Question

Choose which function is represented by the graph

Answer 1

Given:

The graph of a function.

To find:

The function.

Solution:

From the given graph, it is clear that the graph intersect the x-axis at x=-4, -2, 1. It means -4, -2 and 1 are zeros of the given function graph.

If c is a zero of a function f(x), then (x-c) is a factor of f(x).

Using the above definition, we conclude that (x+4), (x+2) and (x-1) are the factors of given function. So,

$f(x)=(x+4)(x+2)(x-1)$

$f(x)=(x-1)(x+2)(x+4)$

Therefore, the correct option is A.