The function is $\"\"$ .

Basic function is $\"\"$ .

$\"\"$ , shift the graph of $\"\"$ $\"\"$ units down.

Replace $\"\"$ by $\"\"$ .

Obtain the graph of $\"\"$ from basic function $\"\"$ , subtract $\"\"$ from each

$\"\"$ -coordinate on graph of basic function.

Choose random values for $\"\"$ and find the corresponding values for $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph:

Draw a coordinate plane.

Plot the points of the basic function $\"\"$ and connect these points with smooth curve.

Plot the points of the $\"\"$ are $\"\"$ and connect these points with smooth curve.

$\"\"$ .

Observe the graph:

The graph of $\"\"$ is identical to $\"\"$ except that it is vertically shifted down $\"\"$ unit.

The domain of the $\"\"$ is all real numbers.

Domain of $\"\"$ in the interval notation: $\"\"$ .

Range of $\"\"$ is all real numbers.

Range of $\"\"$ in the interval notation: $\"\"$ .

Graph:

$\"\"$

Domain of $\"\"$ in the interval notation: $\"\"$ .

Range of $\"\"$ in the interval notation: $\"\"$ .