1. It’s a beautiful day, don’t let it get away.
2.1 Functions
It’s a beautiful day, don’t let it get away.
-U2

2. Functions - Vocabulary
X-Variable
Y-Variable
Domain of the function
Independent variable
Control variable
Set of Inputs
Range of the function
Dependent variable
Set of Outputs
“x corresponds to y”
“y depends on x”

3. Functions FUNCTION Domain Range
A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y.
FUNCTION
Domain
Range

4. Functions FUNCTION Domain Range
A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y.
FUNCTION
Domain
Range

5. Functions NOT A FUNCTION Domain Range
A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y.
NOT A FUNCTION
Domain
Range

6. Function or Not?
Determine which of the following relations represents a function. 1) 2) 3)

7. Function or Not?
Determine which of the following relations represents a function. 1) 2) 3) 4)

8. Function Notation Find the following values for the function given: 1)2) 3)

9. Difference Quotient The Difference Quotient:
Simplify the difference quotient given the following function.

10. Domain of a Function
The domain of a function is the set of all values of x for which the f (x) is a real number.
Find the domain of the following function:
1) Polynomial function:

11. Domain of a Function
The domain of a function is the set of all values of x for which the f (x) is a real number.
Find the domain of the following function:
2) Rational function:

12. Domain of a Function
The domain of a function is the set of all values of x for which the f (x) is a real number.
Find the domain of the following function:
3) Square root function:

13. Computations of a Function
Given f and g below, find the following and determine the domain in each case. 1) 2) 3) 4)

14. Group Practice!!

15. It’s a beautiful day, don’t let it get away.
2.1 Functions
Homework#16: p.69
#39, 47 – 59 Odd, 67, 69, 73 – 77 Odd
It’s a beautiful day, don’t let it get away.
-U2