Understanding Functions in Mathematics

What is a relation in mathematics?

• A set of ordered pairs

• Only a collection of x-values

• A mathematical equation

• A single point on a graph

Which of the following best describes a function?

• A relation where each input has multiple outputs

• A relation where each input has exactly one output

• A collection of random numbers

• Any relation between two variables

In the ordered pair (3,7), what is the input value?

• 7

• Both numbers together

• 3

• Neither number

Which notation correctly represents a function?

• y→x

• x=y

• f(y)=x

• f(x)=y

What is the domain of a function?

• All possible output values

• The relationship between x and y

• All possible input values

• The graph of the function

The vertical line test determines if:

• A relation is linear

• The graph has a y-intercept

• The relation is a function

• The function is decreasing

In the function f(x)=2x+1, what is f(3)?

• 5

• 7

• 4

• 6

Which relation is NOT a function?

• y=x^2

• A circle with radius 5

• y=|x|

• y=3x−2

The range of a function is:

• All x-values that make the function true

• The set of all possible output values

• The domain of the inverse function

• The set of ordered pairs

A linear function will always:

• Pass through the origin

• Have a constant rate of change

• Be positive

• Cross the y-axis at zero