Deciphering the Graph: Identifying Horizontal Line and Key Point at (994, 431)

The graph corresponds to

333-6

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1

Understand the problem

The graph corresponds to

333-6

2

Step-by-step solution

First, we identify the absolute value function associated with the V-shaped graph. The vertex of this V-shape is at the point (6,0)(-6, 0), indicating an expression of f(x)=x+6 f(x) = |x + 6| .

Next, observe the red horizontal line, which consistently passes through y=3 y = 3 . This confirms that the horizontal line function is g(x)=3 g(x) = 3 .

Having identified both functions, we conclude that they correspond to:

{f(x)=x+6g(x)=3 \begin{cases} f(x)= |x+6| \\ g(x)=3 \end{cases}

3

Final Answer

{f(x)=x+6g(x)=3 \begin{cases} f(x)= |x+6| \\ g(x)=3 \end{cases}

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\( \left|x\right|=3 \)

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