Understanding Domain and Range in Functions

What is the domain of a function?

• The set of all natural numbers

• The set of all integers

• All possible x-values a function can take

• All possible y-values a function can take

In set builder notation, how is the domain of a linear function typically expressed?

• The set of all y-values such that y is an element of all real numbers

• The set of all x-values such that x is an element of all integers

• The set of all x-values such that x is an element of all real numbers

• The set of all x-values such that x is an element of all natural numbers

What does the range of a linear function represent?

• The set of all integers

• All possible y-values a function can take

• The set of all natural numbers

• All possible x-values a function can take

For a vertical line with the equation x = 4, what is the domain?

• The set of all x-values such that x is equal to 4

• The set of all x-values such that x is greater than 4

• The set of all x-values such that x is an element of all real numbers

• The set of all y-values such that y is an element of all real numbers

In a parabola, why does the range never go below zero?

• Because the y-values are limited to integers

• Because the x-values are limited to positive numbers

• Because squaring any number results in a non-negative number

• Because the x-values are limited to integers

How is the range of a parabola expressed in set notation?

• The set of all y-values such that y is an element of all real numbers

• The set of all y-values such that y is greater than or equal to zero

• The set of all y-values such that y is an element of all integers

• The set of all y-values such that y is less than zero

In a non-continuous graph, what type of numbers are typically used to express the domain?

• Real numbers

• Whole numbers

• Complex numbers

• Irrational numbers

For a virtual reality simulation game, what is the minimum range of people in the room?

• Three

• Two

• One

• Zero

Why is it uncommon to use whole numbers to describe the domain in non-continuous graphs?

• Because whole numbers are not a valid number classification

• Because integers with restrictions are more commonly used

• Because whole numbers include fractions

• Because whole numbers include negative numbers

What is the correct way to express the range in a non-continuous graph where the minimum number of people is one?

• The set of all y-values such that y is an element of all integers

• The set of all y-values such that y is greater than zero

• The set of all y-values such that y is an element of all real numbers

• The set of all y-values such that y is an element of all natural numbers