The function is .
Make the table of values to find ordered pairs that satisfy the function.
Choose values for and find the corresponding values for
.
Graph :
1. Draw a coordinate plane.
2. Plot the coordinate points.
3. Then sketch the graph, connecting the points with a smooth curve.
Observe the above graph :
Since is radical function, radicand should be greater than or equals to zero.
and
and
and
.
Thus, the domain of the function is .
Find the range by substituting and
in the original function.
At ,
.
At ,
.
Thus, the range of the function is .
Find the - intercept by substituting
in
.
- intercept is
.
There is no - intercept .
The function is continuous on the interval .
Decreasing on the interval : .
The graph of the function is :
Domain of the function is .
Range of the function is .
- intercept :
There is no - intercept .
The function is continuous on the interval .
Decreasing on the interval : .