Exploring Functions, Domain, and Range

What is a relation in mathematics?

• A set of outputs only

• A single input and multiple outputs

• A set of inputs and a set of outputs

• A set of inputs only

What is the key characteristic of a function?

• Every output maps to exactly one input

• Every output maps to multiple inputs

• Every input maps to multiple outputs

• Every input maps to exactly one output

In a function, what does the term 'domain' refer to?

• The set of all possible outputs

• The set of all possible inputs

• The set of all possible relations

• The set of all possible functions

In a function, what does the term 'range' refer to?

• The set of all possible inputs

• The set of all possible functions

• The set of all possible outputs

• The set of all possible relations

In the given example, what does the number 3 map to?

• 0

• 2

• 4

• Negative 1

Is it allowed for multiple inputs to map to the same output in a function?

• No, each input must map to a unique output

• No, each output must map to a unique input

• Yes, as long as each input maps to exactly one output

• Yes, but only if the inputs are positive

Which of the following is NOT a way to represent a function?

• Set notation

• Table of x and y values

• Function map

• Matrix representation

What is the purpose of using set notation in functions?

• To connect the points on a graph

• To list all possible inputs and outputs

• To describe the function rule

• To graph the function

Why can't we connect the dots in the given function example?

• Because the function is not defined for all x values

• Because the function is not continuous

• Because the function has too many points

• Because the function is not a relation

What is the significance of ordered pairs in representing functions?

• They help in describing the function rule

• They help in plotting points on a coordinate plane

• They help in listing all possible outputs

• They help in listing all possible inputs