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

2. Functions 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. DomainRange FUNCTION

3. Functions 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. DomainRange FUNCTION

4. Functions 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. DomainRange NOT A FUNCTION

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

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

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

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

9. 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:

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: 2) Rational 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: 3) Square root function:

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

13. 2.1 Functions It’s a beautiful day, don’t let it get away. -U2 Homework: p.69 #39, 47 – 59 Odd, 67, 73 – 77 Odd