1. Relations and Functions
Algebra 2 Lesson 2-1
Relations and Functions

2. State the domain and range of the relation shown in the graph
State the domain and range of the relation shown in the graph. Is the relation a function?
Example 1-1a

3. Fuel Efficiency (mi/gal)
Transportation The table shows the average fuel efficiency in miles per gallon for light trucks for several years. Graph this information and determine whether it represents a function.
Year
Fuel Efficiency (mi/gal)
1995
20.5
1996
20.8
1997
20.6
1998
20.9
1999
2000
2001
20.4
Example 1-2a

4. y x Graph the relation represented by : y = 3x - 1
Make a table of values to find ordered pairs that satisfy the equation. Choose values for x and find the corresponding values for y.
Then graph the ordered pairs. y x
Example 1-3a

5. y x a. Graph: y = 2x + 5 b. Find the domain and range.
c. Determine whether the relation is a function.
Example 1-3d

6. Graph the relation represented by
Determine whether the relation is a function. X Y
Example 1-4a

7. Given:
Find:
Example 1-5a

8. Given:
Find:
Example 1-5b

9. Given:
Find:
Example 1-5c

11. Lesson 2-2: Linear Equations
Linear Equations: has no operations other than addition, subtraction, and multiplication of a variable by a constant
Variables may not be multiplied together
Variables may not be in the denominator of a fraction
Variables do not have exponents other than 1
The graph is always a straight line

12. Example of Linear Equations
Yes No

13. Standard Form Ax + By = C No fractions or decimals
A and B cannot both be zero
A cannot be negative

14. Writing an Equation in Standard Form

16. x- and y-intercepts
x-intercept: the point where your line intersects the x-axis y-intercept: the point where your line intersects the y-axis

17. Finding the x- and y-intercepts
X-intercept
Y-intercept

18. X-intercept
Y-intercept

19. X-intercept
Y-intercept