Question

Suppose that the function g is defined on the interval

Answer 1

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.

Hence, if the input is -1, that is;

[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 less than or equal to -1. In other words, if the input is -1, falls within this range, then the value of the function equals -1.

Hence;

[tex]g(-1)=-1$

For the next part:

$g(-0.75)$

Falls within the range;

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

Therefore,

$g(-0.75)=0$

The input 2 also falls within the range;

$1That is, x is less than or equal to 2.

Theefore;

[tex]g(2)=2$

ANSWER:

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