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1 answer:
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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)?
Answer:
4,486.93 ft
Step-by-step explanation:
Let 'h' be the height of the mountain and 'x' be the horizontal distance between the first position measured and the top of the mountain.
Two right triangles can be modeled such that their tangent relationships yield:
Solving the linear system:
The mountain is 4,486.93 ft high.