The graph first represents the provided piecewise function option first is correct.
What is a piecewise function?
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.
[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]
[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]
[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]
After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
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