Select the correct answer. which equation could possibly represent the graphed function?

A graph can be represented by the equation y = f(x).
In the equation, the variable x is called the independent variable and the variable y is called the dependent variable.

In the given graph,

The points that lie on the x-axis are (-4, 0), (-2, 0), and (4, 0) where y-coordinate is 0 and the x coordinates are -4, -2, and 4.

On solving the given functions,

Option A:

f(x) = (x - 4)(x + 2)(x + 4)

Since y = 0 consider f(x) becomes 0

So,

(x - 4)(x + 2)(x + 4) = 0

According to the zero product rule,

x - 4 = 0, x + 2 = 0, and x + 4 = 0

⇒ x = 4, x = -2 and x = -4.

Thus, option A represents the function of the given graph.

Learn more about the graph of a function here:

https://brainly.com/question/26857518

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Question:

Select the correct answer. which equation could represent the graphed function (given in the figure below)?