What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Answer:

The range of the function is {-9, -3, 0, 5, 7}

Step-by-step explanation:

The range of a function is the set of all possible values of outputs of a function,

Here, the given function is,

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)},

Where, output values are 0, -3, -9, 5, 7,

Since, the set of the output values {-9, -3, 0, 5, 7 },

Which is the required range of the given function.

The range of given function is {-9, -3, 0, 5, 7}.

Further explanation

Given that {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)} is a relation since it is a set of ordered pairs.

Note that a and b are any two any elements, (a, b) is called an ordered pair where a is the first component and b is the second component.

• The relation is a set of ordered pairs.
• The domain is the set of all the first components of the ordered pairs.
• The range is the set of all the second components of the ordered pairs.

We can conclude that:

• its domain is {-5, -4, -2, 0, 2}
• its range is {-9, -3, 0, 5, 7}

See the attachment for details.

Notes:

A function f is a rule that assigns to each element x in set A exactly one element y or f(x) in set B. Set A is called the domain and set B is called the range of the function f.

The relation above is represented by a list. This relationship can also be represented by the following:

• a table
• a map
• a graph

Learn more

1. What are the domain and range of the function f(x) = 3x + 5? brainly.com/question/3412497
2. Determine the following pairs of functions that inverse of each other. brainly.com/question/4620451
3. Determine the domain of the composite function brainly.com/question/3852778

Keywords: what is the range of the given function, {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}, domain, set, elements, ordered pairs, first components, second, represented by a list, a table, a map, a graph