The attached graph represents the piecewise function h(x)
Complete question
Which of the following is the graph of the piecewise function
[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]
How to determine the graph of the function?
The function is given as:
[tex]h(x) = \left[\begin{array}{cc}-x^2 + 2 &x \le -2\\ \frac 12x&-2 < x < 2\\x^2 - 2&x \ge 2\end{array}\right[/tex]
The above means that the piecewise function has 3 domains
- 2 of which are quadratic functions
- The last one is a linear function
Next, we plot the graph using a graphing tool
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
https://brainly.com/question/11827078
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