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ChaoticKitchen

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After a long day, you arrive home and are surprised to find no one there.When you go to the kitchen, you find a note and decide to read it...

Look at the note on the fridge

Recipe

Function Notation

Solving and Graphing Function

Slope

Quiz:Graphing Linear Functions

Hi, I'm out to dinner.I left a recipe in the fridge for you to make dinner.Follow all the steps.Good Luck!

Functions can be written in function notation. The notation f(x) is read as “f of x.” This means that there is a function called f that has values dependent on x. Therefore, f(x) is the dependent (output values). x is the independent (input values) Examples of equations in function notation: f(x) = 5x + 2 , where f(x) is the output and x is the input. h(x) = x - 4 , where h(x) is the output and x is the input.

You can rewrite any equation in function notation. Although this notation should only be used for functions. Example: y=8.75x can be written as f(x)=8.75x Determine which (only one)statement is TRUE

f(x) is the input value for a function named f, whose input is x.

f(x) is the output value for a function named f, whose input is y.

f(x) is the output value for a function named f, whose input is x.

Match the f(x) value 4 with the correct x value

x=9

x=2

x=6

Match the f(x) value 2 with the correct x value

x=4

x=0

x=3

Match the f(x) value 3 with the correct x value

x=6

x=3

x=4

The function, f(x) = 2x +1, Find the missing value in the table.HINT: REPLACE X WITH 3

9

7

5

The function, h(x) = 2x +1, Find the missing value in the table.HINT: REPLACE X WITH 2

9

5

8

For what value of x does f(x) = 10?

x=1.27

x=2.48

x=12

The function that could represent the table above, where x represents the diameter in inches and f(x) represents the age in years. What does the notation f(4.47)=18 represent in terms of the red oak tree?

18 times the diameter of the red oak tree gives the age of the tree (4.47 years old)

When the diameter of the red oak tree is 4.47 inches, the tree is 18 years old.

When the diameter of the red oak tree is 18 inches, the tree is 4.47 years old.

20 times the diameter of the red oak tree gives the age of the tree (4.47 years old)

Recipe

Function Notation

Solving and graphing Function Notation

Slope

Quiz:Graphing Linear Fuctions

What is the domain of the function f(x) given by the graph of y=f(x) below?

{-4<x<6}

{-7,-5,-4,-2,0,4,3,1}

{-8<x<6}

{-8,-6,-4,-2,0,2,4,6}

Above is the graph of y=f(x) Find f(6)

9

3

1

6

f(x)=2x+3. Match f(9) to the correct x value based on the table

x=0

x=9

x=2

x=3

f(x)=2x+3. Match f(11) to the correct x value based on the table

x=0

x=9

x=2

x=4

f(x)=2x+3. Match f(15) to the correct x value based on the table

x=0

x=9

x=2

x=6

f(x)=2x+3. Match f(x) to the x value -4 based on the table

x=0

x=-9

x=-2

x=-5

f(x)=2x+3. Match f(x) to the x value -1 based on the table

x=0

x=-8

x=-2

x=-1

Given the graph of the function y=g(x) above, What is g(-5)

Write thewrong option here

Write thewrong option here

Write thecorrect option here

Write thewrong option here

A bee flies 15 miles per hour. Write the following equation in function notation with the input of t and output of d(t). d=15t

t(d)=15t

d(t)=t/15

d(t)=15d

15t=15d

Recipe

Function Notation

Solving and Graphing Function Notation

Slope

Quiz:Graphing Linear Functions

Consider the linear equation y = 2x + 3 Which of the following statements about the graph of the line is FALSE?

The line will cross thexaxis at ( 0, 3)

The slope of the line is m=3.

The line will slant upwards from left to right.

The slope of the line is m = 2

What is the slope of the line shown in the graph below?

What is the slope of the line that passes through the two points given below? (2,4) and (-5,3)HINT: CHANGE IN Y OVER CHANGE IN X

Identify the slope of the line with the equation Y=3X+2HINT:REMEMBER Y=MX+B

3

2

Identify the Y INTERCEPT of the line with the equation Y=3X+2HINT:REMEMBER Y=MX+B

(0,2)

(3,0)

Identify the Y INTERCEPT of the line with the equation Y=5HINT:REMEMBER Y=MX+B

(0,5)

(5,0)

Identify the SLOPE of the line with the equation Y=5HINT:REMEMBER Y=MX+B

5

0

Recipe

Function Notation

Solving and Graphing Function Notation

Slope

Quiz:Graphing Linear Functions

Match the function y=3/4x+12 written in standard notation with the same function written in function notation

f(x)=3/4x+12

f(x)=3x-12

Match the function y=-2x-6 written in standard notation with the same function written in function notation

f(x)=-2x-6

f(x)=2x+6

Match the function y=4/3x-16 written in standard notation with the same function written in function notation

f(x)=-4/3x-16

f(x)=3/4x+16

Given that f(x)=-3/2x+4, evaluate the function using 2 as avalue for xHint: replace 2 for x and remove 2 from the fraction. Then add.

9

1

Given that f(x)=-3/2x+4, evaluate the function using 0 as avalue for xHint: replace 0 for x. That will remove the fraction.

-4

4

Recipe

Function Notation

Solving and Graphing Function Notation

Slope

Quiz: Graphing Linear Functions

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Congrats!YUM!

Wrong!BURNT!