TrevinSeginak
Answered

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Which graph best represents the function f(x) = (x + 2)(x − 2)(x − 3)?

Sagot :

math666789

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.

View image math666789

    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

View image eudora
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