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By evaluating the piece-wise function we will see:
To evaluate the function, we just need to replace the variable x by the given numbers.
First, we want to get x = -4, notice that when x ≠ -1, we use the above equation.
Then to evaluate in x = -4 we use:
[tex]h(-4) = \frac{1}{2}*(-4)^2 - 5 = 3[/tex]
Then we want to evaluate in x = -1, so we need to use the below equation:
[tex]h(-1) = 4[/tex]
Finally, we want to evaluate in x = 1, so we use the above equation:
[tex]h(1) = \frac{1}{2}*1^2 - 5 = -4.5[/tex]
If you want to learn more about piece-wise functions:
https://brainly.com/question/3628123
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