Homework: p , 17-25, 45-47, 67-73, all odd!
Constant Function: graph: domain: range: inc/dec/con: odd/even: Identity Function: graph: domain: range: inc/dec/con: odd/even:
Absolute Value Function: graph: domain: range: inc/dec/con: odd/even: Square Root Function: graph: domain: range: inc/dec/con: odd/even:
Standard Quadratic Function: graph: domain: range: inc/dec/con: odd/even: Standard Cubing Function: graph: domain: range: inc/dec/con: odd/even:
And the last one… Cube Root Function: graph: domain: range: inc/dec/con: odd/even:
Vertical Shifts: Horizontal Shifts: General Rule of Thumb: “outside the function” = vertical change “inside the function” = horizontal change
Describe the transformations from f(x) to g(x). Graph the original and the transformed function.
About the x-axis (outside the function) About the y-axis (inside the function) Managing the math: reflection about the x-axis : distribute the negative to every value in the function reflection about the y-axis : “run” a ( – x) through the function
Describe the transformations on :
1. Describe the changes of to 2. Describe the changes of to