1. Chapter 3.1 – 3.3 Relations & Functions
Alg. 2 Notes
Name:__________________
Date:________________
Assignment:

2. Domain and Range Domain = the set of all x-values.
Range = the set of all y-values.
List the domain and range of the relation {(a,1), (b,2), (c,3), (e,2)} D: R:

3. Set Builder Notation:{x I x  3}
Example: Use the set {1,2,3,…,10}
Find {x I x ≥ 7}
Example: write the following using set builder notation { 4,5,6}

4. Set Builder Notation: Example: Use the set {0,2,4,6,8}
Find {x I 2 < x ≤ 8}
Example: write the following using set builder notation { 0,1,2,3,4,….}

5. Cartesian Coordinate System

6. Checking Solutions: Plug in!
Determine if (-1,4), (0,6) are solutions to
y = -2x + 5

7. Graphing Equations: 𝑦= 𝑥 2 𝑦= 𝑥 2 - 2
Meet the parabola guy! Get to know him now. He will be your friend by the end of the year 
𝑦= 𝑥 2
𝑦= 𝑥 2 - 2

9. Which ones are Functions?
b)(5, 8), (-2, 3), (3, 10), (-2, -6) d) c)

10. Sometimes we define domain by what it can’t be!
Function Notation:
Example : Evaluate f(-2) for f(x) = -2x2 – 1
Finding Domain (1st degree)
State what values are acceptable
When are values not acceptable?
If they make the denominator = 0 or a Square root negative like…
f 𝑥 = 𝑥−3
Sometimes we define domain by what it can’t be!
Domain = {x | x }
Domain = {x | x }

11. Practice: 1) Given f(x) = 2x + 6 a)What is the domain? b)Find f(3)
Find h(-6)

12. Give the Domain and Range: