1. DOMAIN AND RANGE

2. Vertical line test
A test use to check if the relation is a function. If the vertical line passes through more than one point of the graph, then it’s NOT a function
yes No

3. Domain and range
Domain
Range
Domain is the set of the first coordinates
Range is the set of the second coordinates
Function: a relation that assigns to each value in the domain exactly one value in the range.

4. Find the domain and range of this function:
Example:
Find the domain and range of this function:

5. Determine if the relation is a FUNCTION
Domain
Range
Domain
Range
The relationship is NOT a function
The relationship is a function

6. Warm-up Use the Vertical Line Test to determine the function: Function
Not a Function
Function
Determine if the relations are a Function by mapping
Function
Function

7. Finding the Domain and range
All real numbers
Range:
y: y ≥ 1
y, such that y is ≥ to 1

8. Graph and find the domain and range of the following function
Your Turn!
y = x2 - 1 domain: {-1,0,1,2}
x y = x2 - 1 (x, y)
–1 y = (-1)2 - 1 = 0 (–1, 0)
0 y = (0)2 - 1 = -1 (0, -1)
1 y = (1)2 - 1 = 0 (1, 0)
2 y = (2)2 - 1 = 3 (2, 3)
Domain:
All real numbers
Range:
y: y ≥ -1

9. Domain: all real numbers
Domain and Range
Domain: all real numbers
Range: {y | y≥ -3}

10. Domain: all real numbers
Domain and Range
Domain: all real numbers
Range: {y | y ≤ 3}

11. Classwork