1. HPC 2.4 – Library of Functions; Piecewise-Defined Functions
Learning Targets:
-Graph the “library of functions”
-Graph piecewise-defined functions

2. Please use your books to fill in the “Library of Functions” sheet.

3. Linear Function
Domain:
Range:

4. Constant Function
Domain:
*Range:

5. Identity Function
Domain:
Range:

6. Square Function
Domain:
*Range:

7. Cube Function
Domain:
Range:

8. Square Root Function
*Domain:
*Range:

9. Reciprocal Function
*Domain:
*Range:

10. Absolute Value Function
Domain:
*Range:

11. Greatest-Integer Function
Domain:
*Range:

12. Piecewise-Defined Functions
When functions are defined by more than one equation.
Certain pieces (equations) are valid for certain x’s.
Each piece (equation) can be any of the functions from the library of functions.

13. Ex 1)
a) f(-1) =
b) f(1) =
c) f(3) =
Domain =
Sketch the graph

14. Ex 2) An economy car rented in Florida from
Ex 2) An economy car rented in Florida from Good Car Rental on a weekly basis costs $91 per week. Extra days cost $23/day until the day rate exceeds the weekly rate, in which case the weekly rate applies. Find the cost C of renting an economy car as a piecewise function of the number x of days used, where 7≤ x ≤14. * Any part of a day counts as a full day.

15. Ex 3) The graph of a piecewise-defined function is given
Ex 3) The graph of a piecewise-defined function is given. Write a definition for the graph.