TrevinSeginak
Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.