Pre-Calculus, 9th edition
39

 PAGE: 101 SET: Exercises PROBLEM: 39

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

Range of in the interval notation: .

Graph:

Domain of in the interval notation: .

Range of in the interval notation: .

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