Operations with functions - Relations and Functions

1.

Relationship between two variables

2.

Understand relations between x- and y-intercepts

3.

Domain and range of a function

4.

Identifying functions

5.

Function notation

6.

Function notation (Advanced)

8.

Adding functions

9.

Subtracting functions

10.

Multiplying functions

11.

Dividing functions

12.

Composite functions

13.

Inverse functions

14.

One to one functions

15.

Difference quotient: applications of functions

16.

Transformations of functions: Horizontal translations

17.

Transformations of functions: Vertical translations

18.

Reflection across the y-axis: $y = f(-x)$

19.

Reflection across the x-axis: $y = -f(x)$

20.

Transformations of functions: Horizontal stretches

21.

Transformations of functions: Vertical stretches

22.

Combining transformations of functions

23.

Even and odd functions

24.

Direct variation

25.

Inverse variation

26.

Joint and combined variation