10/21 Math Lab Function Notation

10/21 Math Lab Function Notation

Poll

How do you feel about function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue

Function notation

​Remember, f(x) = 2x is the exact same thing as y = 2x. Function notation just allows us to name a function (so we can know if we're talking about function f, function g, function h, etc.) and it gives us information about the input values (the x inside the parentheses tells us that we'll plug the input values in for x).

Multiple Choice

What is the name of the function given?

 $h\left(x\right)=3x+4$  

• h
  

• f

• g

• p

Multiple Choice

What is the name of the function given?

 $p\left(x\right)=2x+7$  

• h
  

• f

• g

• p

Multiple Choice

What is the name of the function given?

 $g\left(x\right)=-8x+5$  

• h
  

• f

• g

• p

Multiple Choice

What is the name of the function given?

 $f\left(g\right)=-8g+5$  

• h
  

• f

• g

• p

Fill in the Blanks

What is the name of the function given?

 $r\left(x\right)=-8x+5$  

Fill in the Blanks

What is the name of the function given?

 $q\left(x\right)=9x^2+4x$  

Fill in the Blanks

What is the name of the function given?

 $k\left(n\right)=-5n^2+3n$  

Fill in the Blanks

What is the name of the function given?

 $m\left(r\right)=-3r^2+4r+7$  

Poll

How do you feel about naming functions in function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue

Multiple Choice

What is the variable in the function below?

 $f\left(x\right)=2x^2-17x+3$  

• x

• y

• f

• z

Multiple Choice

What is the variable in the function below?

 $f\left(y\right)=7y^2-13y+5$  

• x

• y

• f

• z

Fill in the Blanks

What is the variable in the function below?

 $g\left(r\right)=7r-13$  

Fill in the Blanks

What is the variable in the function below?

 $l\left(s\right)=35s+6$  

Poll

How do you feel about finding the variable in function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue

Multiple Choice

Given the equation

 $f\left(x\right)=\ 7x-8$  , 
Find  $f\left(1\right)$  
What are we plugging in for the variable in the equation?

• 1

• 2

• 3

• 4

Multiple Choice

Given the equation

 $f\left(x\right)=\ 7x-8$  , 
Find  $f\left(3\right)$  
What are we plugging in for the variable in the equation?

• 1

• 2

• 3

• 4

Multiple Choice

Given the equation

 $g\left(x\right)=\ 18x-75$  , 
Find  $g\left(3\right)$  
What are we plugging in for the variable in the equation?

• 1

• 2

• 3

• 4

Multiple Choice

Given the equation

 $g\left(x\right)=\ 18x-75$  , 
Find  $g\left(4\right)$  
What are we plugging in for the variable in the equation?

• 1

• 2

• 3

• 4

Multiple Choice

Given the equation

 $g\left(x\right)=\ 18x-75$  , 
Find  $g\left(c\right)$  
What are we plugging in for the variable in the equation?

• a

• b

• c

• d

Multiple Choice

Given the equation

 $s\left(x\right)=\ 20x-14$  , 
Find  $s\left(a\right)$  
What are we plugging in for the variable in the equation?

• a

• b

• c

• d

Fill in the Blanks

Given the equation

 $t\left(x\right)=\ 20x-14$  , 
Find  $s\left(5\right)$  
What are we plugging in for the variable in the equation?

Fill in the Blanks

Given the equation

 $t\left(x\right)=\ 20x-14$  , 
Find  $s\left(y\right)$  
What are we plugging in for the variable in the equation?

Poll

How do you feel about plugging a value in for the variable of function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue

Multiple Choice

Given the function

 $f\left(x\right)=2x+7$  , evaluate for  $f\left(1\right)$  

• 7

• 8

• 9

• 10

Multiple Choice

Given the function

 $f\left(x\right)=2x+7$  , evaluate for  $f\left(3\right)$  

• 21

• 12

• 14

• 13

Multiple Choice

Given the function

 $g\left(x\right)=-2x+3$  , evaluate for  $g\left(5\right)$  

• -3

• 7

• -7

• -13

Multiple Choice

Given the function

 $g\left(x\right)=-2x+3$  , evaluate for  $g\left(-3\right)$  

• 9

• 6

• 12

• 11

Multiple Choice

Given the function

 $h\left(x\right)=x^2+7$  , evaluate for  $h\left(2\right)$  

• 9

• 6

• 12

• 11

Multiple Choice

Given the function

 $h\left(x\right)=x^2+7$  , evaluate for  $h\left(5\right)$  

• 45

• 68

• 32

• 7

Poll

How do you feel about evaluating functions in function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue

Poll

Now, how do you feel about function notation?

• I completely get it

• I get it

• I don't quite get it

• I have no clue