U6-Functions

Step functions

100

True or False: Step functions and Greatest Integer functions are the same thing. 

True. 

200

Part I: What is a step function shaped like? 

Part II: What is the formula? 

Part I: Steps or Stairs 

Part II: y = [x] or y = llxll 

Transformation of functions

100

What transformations are present in the equation? 

y = (x - 2) + 3 

Right 2, Up 3. 

200

What transformations are made to this function 

y = (x - 3) + 2 

To make this function 

y = (x + 5) - 3: 

left 8, down 5 

Piece-wise functions

100

Write out this piece-wise function. 

Composite functions

100

When f(x) = 15x and g(x) = 30x, then what is (f(x) * g(x)) when x = 3? 

f(x) * g(x) = 4,050 

Inverse functions

100

What would the points for the inverse of this function be? 

 

(2,0), (3,1), (5,2)