Functions Notation Transformation Lesson

Function Notation Transformations

Function Notation

•  $f\left(x\right)=x+2$  

•  $y=x+2$  

• Evaluate  $f\left(2\right)$  

• Evaluate  $y=x+2$  when x = 2

Fill in the Blanks

Evaluate

$f\left(-2\right)$  if  $f\left(x\right)=2x-3$  

Fill in the Blanks

Evaluate $g\left(3\right)$  if  $g\left(x\right)=x^2+1$  

Fill in the Blanks

Evaluate $h\left(\frac{1}{3}\right)$  if  $h\left(x\right)=3x+2$  

Multiple Choice

How would you evaluate $$g\left(f\left(2\right)\right)$$  if  $$g\left(x\right)=x+2$$ and  $$f\left(x\right)=x$$  

• Evaluate f(2) and then plug the answer to that into g(x)

• Evaluate g(2) and then plug the answer into f(x)

• Plug 2 into g(x)

Multiple Choice

Evaluate $$g\left(f\left(2\right)\right)$$  if  $$g\left(x\right)=x+2$$ and  $$f\left(x\right)=x$$  

• 0

• 2

• 4

• 3

Notation for Transformation of Functions
If $f\left(x\right)=x$   find an expression for the following:

•  $f\left(x\right)+4$  

•  $f\left(2x\right)$  
  

•  $-f\left(x\right)$  
  

•  $f\left(-x\right)$  
  

Notation for Transformation of Functions
If $f\left(x\right)=3x-1$   find an expression for the following:

•  $f\left(x\right)+4$  

•  $f\left(2x\right)$  
  

•  $-f\left(x\right)$  
  

•  $f\left(-x\right)$  
  

Multiple Choice

If $$f\left(x\right)=2x-1$$  

Find an expression for  $$f\left(x\right)+4$$  

• $$2x+3$$  

• $$x+4$$  
  

• $$2x-4$$  

Multiple Choice

If $$f\left(x\right)=2x-1$$  

Find an expression for  $$f\left(2x\right)$$  

• $$2x+4$$  

• $$4x$$  
  

• $$4x-1$$