1. Chapter 11-2 Graphs of functions & relations
Math 2
Chapter 11-2
Graphs of functions & relations
j k mackinnon

2. Summary Slide Linear and Constant Functions Linear functions
Absolute Value Functions
More absolute value functions
Quadratic Functions
Square-Root Functions
Graphing Relations that are not functions
The End

3. Linear and Constant Functions
y = mx + b or f (x) = mx + b for m ≠ 0
graph is a straight line [linear!]
Domain = and range =
Example
f (x) = 2x + 2
f (x) = 3x - 1
f (x) = -5x + 7
f (x) = x  the identity function
If m = 0, y = b is a constant function
Domain , range b
f (x) = 2, range = 2
f (x) = c, range = c  the constant function

4. Linear functions State the domain of each graph
[identity function]                                                                                                                                       Domain:                   
Range:                   
State the domain of each graph
State the range of each graph
Domain:
Range:

5. Absolute Value Functions
the absolute value function is the function defined by
f (x) = |x|
its graph is v-shaped
Domain:
Range:

6. More absolute value functions
Graph each function and state the domain and range
f(x) = |x - 4 |
Domain =
Range =
g(x) = | 3x - 9 |

7. where a, b, and c are real numbers, with a ≠ 0
Quadratic Functions
A quadratic function is a function of the form
f (x) = ax2 + bx + c,
where a, b, and c are real numbers, with a ≠ 0
Domain =
Range =

8. Square-Root Functions
The square-root function is the function defined by
f (x) =
graphs look like half a parabola.

9. Graphing Relations that are not functions
a relation is any set of ordered pairs
these relations are not functions
why?
what are some ordered pairs?

10. The End Function vocabulary Ask Dr Math Function tutorial 1
Ask Dr Math
Function tutorial 1
Function self check
Please do the assignments
click on assignments
Learn math online in mathzone
go to chapter 11-2
Do exercises
Do e-professor
Watch videos if you have time
j k mackinnon