COLLEGE ALGEBRA: AN INVESTIGATIVE APPROACH

by

S. Kastberg & T. Barron


PIECEWISE LINEAR FUNCTIONS


Please type your answers to the questions in the lesson in the text boxes below. Please type all your answers in complete sentences. After you have entered all your answers please be sure to click on the submit button at the end of the lesson.


1. Consider the following function f(x) = 2x + 1 if

If you plot point to graph this function, which points might be good to plot?

The following is a graph of the function.

2. Please remember that the domain is all the numbers that you can put into the function. So, what is the domain of this function?

3. What numbers do you get out of this function? Is there a largest y value? A smallest y value?

The numbers that you get out of the function, y, are called the range values.

4. Consider the following function .

If you plot point to graph this function, which points might be good to plot?

Graph the function. Click HERE to graph this function.

5. This graph has two pieces that is why it is called a piecewise graph. Usually a graph of this type is given to us in the following form

Don't be intimidated! We just graphed each part seperately which is what you do.

6. Now what is the domain of the whole function? Both parts included.

7. What is the range of the whole function? Both parts included.

8. What is the x-intercept?

9. What is the y-intercept?

10. Graph the following piecewise function

Which points might be good to plot?

11. What is the domain of the function?

12. What is the range of the function?

13. What is the x-intercept?

14. What is the y-intercept?

ABSOLUTE VALUE FUNCTION

15. A special example of a piecewise function is called the absolute value function . This function is called piecewise since you can write it in the following way

Which points might be good to plot?

Graph the function. Click HERE to graph this function.

16. What is the domain of the function?

17. What is the range of the function?

18. What is the x-intercept?

19. What is the y-intercept?

20. Try to graph . Click HERE to graph this function.

21. What is the domain of the function?

22. What is the range of the function?

23. What is the x-intercept?

24. What is the y-intercept?


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