Homework Answers QUIZ TIME After you finish work

QUIZ TIME �After you finish work on the warm up Why did the skeleton

In this lesson you will �Learn to use function notation �Use a graph to

Definitions Relation A relationship between sets of information. Typically between inputs and outputs. Function

4 Examples of Functions X Y 10 2 15 -5 X Y -3 1

3 Examples of Non-Functions X Y 0 4 1 10 2 11 1 -3

Function Notation The f is the name of the function machine and the value

Example If f(x) = 2 x + 3, find f(5). When evaluating, do not

Solving v. Evaluating No equal sign Equal sign Substitute and Evaluate Solve for x

EXAMPLE You can use the function f(x)=19. 4+1. 28 x to approximate the wind

Not all functions are expressed as equations. Here is a graph of a function

Look at the graph below. What is the domain? What is the range? Use

Homework: Packet p. 3 Tutorials: Mondays and Thursdays. 1 st half of lunch

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Homework Answers

QUIZ TIME �After you finish work on the warm up Why did the skeleton visit a butcher shop?

Function Notation

In this lesson you will �Learn to use function notation �Use a graph to evaluate a function for various input values �Use an equation to evaluate a function for various input values

Definitions Relation A relationship between sets of information. Typically between inputs and outputs. Function A relation such that there is no more than one output for each input

4 Examples of Functions X Y 10 2 15 -5 X Y -3 1 -1 0 0 4 5 7 7 3 18 -5 20 1 7 -5

3 Examples of Non-Functions X Y 0 4 1 10 2 11 1 -3 5 3

Function Notation The f is the name of the function machine and the value inside the parentheses is the input. The expression to the right of the equal sign shows what the machine does to the input. Which do you prefer to write? f(25) OR Evaluate f when x = 25? 5

Example If f(x) = 2 x + 3, find f(5). When evaluating, do not write f(x)! You wanted to find f(5). So the complete final answer includes f(5) not f(x) You want x=5 since f(x) was changed to f(5)

Solving v. Evaluating No equal sign Equal sign Substitute and Evaluate Solve for x The input (or x) is 3. The output is -5.

EXAMPLE You can use the function f(x)=19. 4+1. 28 x to approximate the wind chill temperature for a given actual temperature when the wind speed is 15 miles per hour. Both x and are in degrees Fahrenheit. Find f (x) for each given value of x. a. f(-10) b. f(0) c. x when f(x)=19 d. x when f(x)=-13

Not all functions are expressed as equations. Here is a graph of a function g. The equation is not given, but you can still use function notation to express the outputs for various inputs. For example, g(0)=3, g(4)=6, and g(6)=1. Can you find xvalues for which g(x)=3?

Look at the graph below. What is the domain? What is the range? Use the graph to find each function value in the table. Then do the indicated operations.

You try:

Homework: Packet p. 3 Tutorials: Mondays and Thursdays. 1 st half of lunch