Respuesta :

Answer:

3rd graph (on bottom left)

Step-by-step explanation:

First, find the zeros of the function.

  • f(x) = x² - x - 2
  • f(x) = x² + x - 2x - 2
  • f(x) = x(x + 1) - 2(x + 1)
  • f(x) = (x - 2)(x + 1)

The zeros are :

  1. x - 2 = 0 ⇒ x = 2
  2. x + 1 = 0 ⇒ x = -1

Therefore, the graph of the function intersects the x-axis at :

  • (2,0) and (-1,0)

The correct graph is 3rd graph (on bottom left)