Understanding Functions and Their Properties

In mathematics, what is a function?

• Something that relates one set to another in a particular way.

• A collection of numbers or letters.

• A mathematical rule that always results in zero.

• A type of equation with only one variable.

How are sets commonly written in mathematical notation?

• Using parentheses ( ).

• Using square brackets [ ].

• Using curly brackets { }.

• Using angle brackets < >.

What is the difference between a finite set and an infinite set?

• A finite set contains only numbers, while an infinite set contains letters.

• A finite set has a limited number of elements, while an infinite set has an unlimited number of elements.

• A finite set is always smaller than an infinite set.

• A finite set can be written in curly brackets, but an infinite set cannot.

What are the special mathematical names for the input set and the output set of a function?

• Domain and Range.

• Start and End.

• Source and Target.

• Input and Output.

If a function's rule is to "Output the number of sides" for a given polygon name, what would be the output for a Hexagon?

• 5

• 6

• 7

• 8

For the algebraic function y = 2x, what is the output (y) if the input (x) is 5?

• 2

• 5

• 10

• 25

What is the main characteristic that prevents a relationship from being considered a function?

• It has too many input values.

• It produces more than one output value for a single input value.

• It uses letters instead of numbers.

• It does not have a clear rule.

Which of the following equations represents a function?

• y^2 = x

• y = x^2

• x^2 + y^2 = 9

• x = 5

In a function, what is the set of all possible input values called?

• Range

• Output

• Domain

• Variable

If a function table shows an input (x) of -2 and an output (y) of -1, how would this be written as an ordered pair?

• (-1, -2)

• (-2, -1)

• (x, y)

• (y, x)