Understanding Functions

In the classroom analogy, what does the classroom represent?

• A domain

• A range

• A set

• A function

In the classroom analogy, what does each person's height represent?

• A function

• A domain

• A range

• An element

What is the key characteristic of a function as demonstrated by the gumball machine?

• Multiple outputs for one input

• Multiple inputs for one output

• One input for multiple outputs

• One input for one output

What does the gumball machine do with the penny?

• It keeps the penny and gives nothing

• It returns the penny

• It gives multiple gumballs

• It gives one gumball

In mathematical terms, what is the domain of a function?

• The rule of correspondence

• The set of all possible inputs

• The range of the function

• The set of all possible outputs

What is the range in a function?

• The set of all possible inputs

• The set of all possible outputs

• The rule of correspondence

• The domain of the function

In the pictorial examples, what is the significance of each element in the domain?

• It can be paired with elements outside the range

• It must be paired with exactly one element in the range

• It can be paired with multiple elements in the range

• It can remain unpaired

In the pictorial examples, what happens if two elements in the domain are paired with the same element in the range?

• It is not a function

• It is still a function

• The range must be adjusted

• The function becomes invalid

What makes a relation not a function?

• An element in the domain is paired with multiple elements in the range

• An element in the range is paired with multiple elements in the domain

• All elements in the domain are paired with elements in the range

• All elements in the range are paired with elements in the domain

Why is it important for each element in the domain to be paired with only one element in the range?

• To decrease the domain

• To increase the range

• To allow multiple outputs

• To ensure the function is valid