Composite Functions: This pack now contains three activities to help students understand the idea of composite functions.
1. Composite Functions: Putting Functions into Functions
Students start by substituting numbers into different functions and then gradually build up to inputting simple expressions, such as (x + 3) into functions. They can match their answers to the ones jumbled up at the bottom of the page.
2. Composite Functions 1
Students substitute numbers into a mixture of different composite functions.
3. Composite Functions 2
Students again are required to create composite functions, but this time they are required to multiply out brackets and work with radicals.
The answers are at the bottom of the page for each worksheet jumbled up, so that students can check their answers as they work
Core Standards: HSF.BF.A.1.C
Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.