Functions Worksheets

Functions Practice

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.

Functions Examples

Expressions, Inverse functions and composite functions. The example below shows three separate functions, [1] f(x) = x2 - 2x + 4, [2] 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 Examples

Functions Worksheet Example 1

Functions Worksheet Example 3

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.

Functions Worksheets

Functions Worksheet Example 2

Functions Worksheet Example 4

Functions Questions And Answers

For Function Machines Cazoomy Worksheets try: Function Machines Worksheets. For Substituting Into Expressions Cazoomy Worksheets try: Substituting Into Expressions Worksheets.