Algebra 2 warm up 5.6.13
Transcript of Algebra 2 warm up 5.6.13
Algebra 2 Warm up5.13.13
Complete the table below, if y = 4 - 2x
X Y ( X , Y )
-1
0
1
2
3
y = 4 - 2x
X Y ( X , Y )
-1 6 (-1 , 6)
0 4 (0 , 4)
1 2 (1 , 2)
2 0 (2 , 0)
3 -2 (3 , -2)
y = 4 - 2x
Vocabulary
• Function: Rule that assigns each input value to exactly one output.
Usually we describe a function with an equation.
Grading Function
Vocabulary
• Function: Rule that assigns each input value to exactly one output.
Usually we describe a function with an equation.
• Domain: x –values, or input values.
• Range: y – values , or output values.
How do we know if a graph is a function?
• If it passes THE VERTICAL LINE TEST
The vertical line test
1. Move a vertical line across the entire graph from left to right.
2. If it intersects the graph only ONCE in all locations, then it is a function.
Is this a function?
Is this a function?
Is this a function?
What is the Domain and Range?
What is the Domain and Range?
What is the Domain and Range?
Function notation
)(xf
Practice1. Is a function represented? If so what is the
domain and range.
a. (2,-4) (4,4) (6,-1) (5,0) (1,6) (2,4) (3, -2)
b.
2. If , then find f (0) , f (-2) , and f (3a)5)( 2xxf
Finding the domain from the equation
Example: What is the domain of the function given by
Functions only have real number outputs.Anything that gives an imaginary number or a zero denominator is a restriction.
How to find the domain:Assume that the domain is the set of all real numbers except for the restrictions.
5)( xxf
Examples
• What is the domain?
• What is the domain?
7
2)(
xxf
9
7)(
2xxf
More challenging examples
• What is the domain?
• What is the domain?
4
32)(
xxxf
6
9)(
x
xxf
Practice• What is the domain?
• What is the domain?
• What is the domain?
xxxf
5
5)(
2
7)( 2xxf
3 7)( xxf