Question

Find the domain and sketch the graph of the function.

Answer 1

Step 1:

The function is .

The function is in the form of piecewise linear equation, there are no denominators and radicals.

Therefore, the domain will exist for all values of .

The domain of the function is .

Step 2:

The graph of the piecewise linear function :

To plot the graph of the , find the coordinates points at .

-4
-3
-2
-1

To plot the graph of the , find the coordinates points at .

0
1
2
3
4

Graph:

(1) Draw the coordinate plane.

(2) plot the points found in the table.

(3) Connect the plotted points.

Note : The circle indicates that the point is not included in the function.

Solution :

The domain of the function is .