Which equation is best represented by the graph below?
(x + 1)(x - 3)(x + 2)
(x - 1)(x + 3)(x + 2)
(x - 1)(x - 3)(x + 2)
(x + 1)(x + 3)(x - 2)

Solution:

Given the graphs and the points (-2,0),(-1,8), (1,0) (2,-4)

In order to find the function, we need to check the points satisfying the equation

As in the graph, they are lying in the graph

Let y be the required function

If y = (x + 1)(x - 3)(x + 2) : clearly among the points (-1, 8) doesn’t lie on this graph

If y = (x - 1)(x + 3)(x + 2): clearly among the points (-1, 8), (2, -4) don’t lie on this graph

If y = (x - 1)(x - 3)(x + 2) : clearly all the points lie on this graph

Therefore, the required equation is (x - 1)(x - 3)(x + 2)

Which equation is best represented by the graph below? (x + 1)(x - 3)(x + 2), (x - 1)(x + 3)(x + 2), (x - 1)(x - 3)(x + 2), (x + 1)(x + 3)(x - 2)

Summary:

(x - 1)(x - 3)(x + 2) equation is best represented by the graph