Chapter 3.2, Problem 46E

(a)

To determine

To find: The output when the expression $x<0$ into $Y1$ of your calculator using < from the test menu. Graph Y1 in DOT mode in the window $\left[-4.7,7.7\right]$ by $\left[-3.1,3.1\right]$ is input.

Answer to Problem 46E

The required output is shown in Figure 1

Explanation of Solution

From the given condition the graph with the help of the calculator is shown in Figure 1

  

Figure 1

(b)

To determine

To find: The describe graph in the part (a).

Answer to Problem 46E

The range of the graph is $f\left(x\right)=\{\begin{array}{l}1,x<0\\ 0,x\ge 0\end{array}$ .

Explanation of Solution

Consider that use trace to help the values of Y1 is 1, for every $x<0$ and $x\ge 0$ .

As the value of the function is constant for the interval $x<0$ and $x\ge 0$ .

Thus, it appears that the range of the graph is,

  $f\left(x\right)=\{\begin{array}{l}1,x<0\\ 0,x\ge 0\end{array}$

(c)

To determine

To find: The expression $"x\ge 0"$ into $Y1$ of your calculator using the $\ge$ from the test menu. Graph Y1 in Dot mode in the window $\left[-4,4.7\right]$ by $\left[\mathrm{3.1.3.1}\right]$ .

Answer to Problem 46E

The required graph is shown in Figure 1.

Explanation of Solution

Now graph the calculator by entering the expression $x\ge 0$ . The required graph is shown in Figure 2

  

Figure 2

(d)

To determine

To find: The describe graph in the part (a).

Answer to Problem 46E

The range of the graph is $f\left(x\right)=\{\begin{array}{l}0,x<0\\ 1,x\ge 0\end{array}$ .

Explanation of Solution

Consider that use trace to help the values of Y1 is 1, for ever $x<0$ and is 1 for every $x\ge 0$ .

As the value of the function is constant for the interval $x<0$ and $x\ge 0$ .

Thus, it appears that the range of the graph is,

  $f\left(x\right)=\{\begin{array}{l}0,x<0\\ 1,x\ge 0\end{array}$