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Suppose that the function H is defined, for all real numbers, as follows.

Suppose That The Function H Is Defined For All Real Numbers As Follows class=

Sagot :

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By evaluating the piece-wise function we will see:

  • h(-4) = 3
  • h(-1) = 4
  • h(1) = -4.5

How to evaluate the piecewise function?

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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