For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7. ƒ = {(-1, 3), (4, 7), (0, 6), (2, 2)}

Key Concepts

Function Notation

Function notation is a way to represent a relationship between inputs and outputs. In this case, ƒ(x) indicates a function where 'x' is the input, and ƒ(x) is the corresponding output. The notation helps in identifying specific values of the function based on given pairs, such as ƒ(2) and ƒ(-1).

Ordered Pairs

Ordered pairs are a fundamental concept in functions, represented as (input, output). Each pair in the function ƒ = {(-1, 3), (4, 7), (0, 6), (2, 2)} indicates that for a specific input, there is a corresponding output. Understanding how to read and interpret these pairs is essential for finding the values of ƒ(2) and ƒ(-1).

Evaluating Functions

Evaluating a function involves substituting a specific input value into the function to find the output. For example, to find ƒ(2), you look for the ordered pair where the first element is 2 and determine the second element as the output. This process is crucial for solving the given problem and understanding how functions operate.