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The function for the given graph is f(x) = (x - 4)(x + 2)(x + 4).
<h3>How to represent a graph by an equation?</h3>- 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.
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Question:
Select the correct answer. which equation could represent the graphed function (given in the figure below)?
