Section+1.3

Section 1.3 Twelve Basic Functions

Parent Function- Most basic function of each type.

1. Identity Function f(x)=x



Domain: All Real Numbers Range: All Real Numbers Continues Not Bounded Odd

2. Squaring Function f(x)=x²



Domain: All Real Numbers Range: [Zero to infinite0 Continues Low Bound: 0 Even

3. Cubing Function f(x)=x³



Domain: All Real Numbers Range: All Real Numbers Continues Not Bounded Odd

4. Square Root Function f(x)= square root(x)



Domain: [Zero to infinite) Range: [Zero to infinite) Continues Low Bound: 0 Neither

5. Cube Root Function f(x)=³square root (x)



Domain: All Real Numbers Range: All Real Numbers Continues Not Bounded Odd

6. Reciprocal Function f(x)=1/x



Domain: All Real Numbers except zero Range: All Real Number except zero Continues Not Bound Odd

7. Absolute Value Function f(x)=lxl



Domain: All Real Numbers Range: [Zero to infinite) Continues Low Bound: 0 Even

8. Greatest Integer Function f(x)=int(x)



Domain: All Real Numbers Range: All Integers Jump Discontinuity Not Bounded Neither

Piecewise Functions

A function who's graph who consists of more than one function whose domains are restricted.

Example f(x) {-x-1 -3 less than or equal to x greater than -1 ....................- 1 -1 less than or equal to x greater than or equal to 2 ..................... x-1 x is great than 2



Homework Assignments:

Thursday: Page 113: 13-27 Odd, 29-35 Odd, 39 Friday: Page 114: 45, 48, 50, 51, 52, Page 165: 11-19 Odd