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IBDP Mathematics: Functions

Functions

February 28, 2023

Functions

Determining the range of a function:

The range of a function can simply be found by putting the numbers into the function.

I.E:

Find the range of  for domain 

Range of 

Composite functions

Composite functions are when 2 functions are combined together. This is achieved by putting one of the functions within the other.

  • Find 
  • Replace  with the function

Inverse functions

To find the inverse of a function, we must first of all make it so that the equation equals something else, like y. This is so we can easily manipulate it. Then we just reformat the equation based off of the values within and then change it back to the function, with a small -1 to show it has been inversed.

If , find .

First, rearrange in terms of :

  •        (Change the Y back to X)

Work hard for your IBDP Mathematics examination!