Functions worksheets for year 10 and year 11. Functions worksheet 1 asks students to work with expressions and functions, functions worksheet 2 and functions worksheet 3 asks students to work with composite functions, functions worksheet 4 and functions worksheet 5 asks students to work with inverse functions.
Expressions, Inverse functions and composite functions. The example below shows three separate functions,  f(x) = x2 - 2x + 4,  f(a) = 5x and g(x) = x - 1. In the first section the value 3 is substituted into the function f(x) = x2 - 2x + 4. The answer is 7. Next, the value -6 is substituted into the function f(x) = x2 - 2x + 4. The answer is 52. The second section shows the composite functions ff(x) and fg(x). In the first part the value 3 is substitued into the composite function ff(x). The answer is 45. Next, the value 3 is substituted into the composite function fg(x). The answer is 10.
Functions and Inverse Functions
A function describes a relationship between two values, an input value and an output value. Functions must only have one relationship for each input value as shown below. The domain is a set of values that are allowed to be put into the fuction. The range represents the set of possible results produced when values are input into the function.