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Bruce Lee · Answer 1 · 2023-10-16T20:35:32+0000

Step-by-step explanation:

We are given a piecewise function as shown;

$\begin{gathered} g(x)=\begin{cases}{-1\text{ if}-2We have effectively been given the results or values of the function if the input falls within a given range.<p>Hence, if the input is -1, that is;</p>[tex]g(-1)$

Note carefully that the condition is given if, the intput is between the range of ;

-2Whereby x is greater than -2, and x is <strong>less than or equal to -1</strong>. In other words, if the input is -1, falls within this range, then the value of the function equals -1.<p>Hence;</p>[tex]g(-1)=-1

For the next part:

Falls within the range;

$-1That is, the input is;[tex]\begin{gathered} -1-1 \end{gathered}$

Therefore,

The input 2 also falls within the range;

1That is, x <strong>is less than or equal to</strong> 2.<p>Theefore;</p>[tex]g(2)=2

ANSWER:

$\begin{gathered} g(-1)=-1 \\ g(-0.75)=0 \\ g(2)=2 \end{gathered}$

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