1. Drill #17*
List the relation (set of ordered pairs) and the domain and range of the following mapping: 1.
Find the value of the following if f(x) =
2. f( 2 )
f( ½ ) y x 2 3 -1 4

2. 2-2 Linear Equations
Objective: To identify equations that are linear and graph them, to write linear equations in standard form, and to determine the x- and y- intercepts of a line and use them to graph an equation.
HW 2-2, pg 77, #18-36 (all)
Copy problems, show work.
HEADING, TITLE, OBJECTIVE!

3. Vertical Line Test **
11. Vertical Line Test: If a vertical line intersects a graph at more than one point then the relation is not a function.
Pass a pencil vertically over a graph. If the pencil ever touches more than one point at a time on the graph, then the graph fails the vertical line test, and is not a function.
Every x – value must have a unique y –value.

4. Classwork (#17*)
Which of the following are functions? 4. 1 x -1 y

5. Classwork (#17*)
Which of the following are functions? 5. 1 x -1 y

6. Classwork (#17*)
Which of the following are functions? 6. 1 x -1 y

7. Classwork (#17*)
Which of the following are functions? 7. 1 x -1 y

8. Classwork (#17*)
Which of the following are functions? 8. 1 x -1 y

9. Continuous Functions **
12. continuous functions: A function that can be graphed with a line or a smooth curve and has a domain with an infinite number of elements. 1 x -1
(0,0) Origin y

10. Graph each function by completing the following tables and plotting the coordinates. Then state whether each is a function.
9. y = 3x – x y -1 1 2 x y -2 -1 1 2

11. Rewind A relation is a function if … The domain is … The range is …
A continuous function is …

12. Independent and Dependent **
independent variable: the input of a function (x)
dependent variable: the output of a function (y) which depends on the value of the input.
The value of the dependent variable (output) depends on the independent variable (input).

13. Linear Equation **
15. linear equation: and equation containing one or two variables with no variable having an exponent other than 1
Standard Form of a Linear Equation:
Ax + By = C
Where A, B, and C are real numbers, and A and B are not both zero.

14. Examples
Linear Equations Not Linear Equations

15. Classwork (#17*)
Write each equation in Standard Form where A, B, and C are integers whose greatest common factor is 1. Identify A, B, and C.
9. y = -5x + 6
10. ¾ x = 2y + 5
x – 10y = 25.

16. x and y intercepts **
18. x – intercept: the x-coordinate of the point where the graph of a function crosses the x-axis.
19. y – intercept: the y-coordinate of the point where the graph of a function crosses the y-axis.