Respuesta :
Answer:
The graph should sort of look like the image bellow
Step-by-step explanation:
Since it is a cubic function, the graph would curve up on into the shape of a palabora, come back down, and go up again.
Graph crossing the x-axis at (-2, 0), (2, 0) and (3, 0) will be the correct choice.
Equation of a graph in factored form:
- If the equation of a graph is given in the factored form,
f(x) = (x - a)(x - b)(x - c)
Roots (where the graph crosses or touches the x-axis) of the
equation will be x = a, b, c
Given in the question,
Equation of the graph → f(x) = (x + 2)(x -2)(x - 3)
For zeros of the equation, equate the equation with zero.
f(x) = (x + 2)(x -2)(x - 3) = 0
x = -2, 2, 3
Therefore, graph having zeros at (-2, 0), (2, 0) and (3, 0) will be correct graph.
Learn more about the graph of a function here,
https://brainly.com/question/12543560?referrer=searchResults