Step-by-step Answer
PAGE: 88SET: ExercisesPROBLEM: 29
Please look in your text book for this problem Statement

The piecewise function is


All possible values of for which the function is mathematically correct is the domain of a function.

The domain of is all real numbers.


Find the intercepts

Find the -intercept by substituting .

If , the function is .

Substitute in above function.

The value of which is not to be considered because .

There is no -intercept.

Find the -intercept by substituting .

The function is not defined at .

The function is defined at .

The intercept is .


 Draw the table of different values of for .

If then the function is .

If then the function is .


1). Draw a coordinate plane.

2). Plot the points found in the table and connect the plotted points

3). Label the intercept points.



All possible values of is range of a function.

Observe the graph:

The range of function is .

The range in interval notation .


The function is discontinuous at because the function has hole as .

(a) The domain of is all real numbers.

(b) The intercept is .

(c) Graph of the function:

(d) The range of the function in interval notation .

(e) The function is discontinuous at .


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