Functions vs. Relations

Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

• The relation is a function because no value in the domain goes to multiple values in the range.

• The relation is a function because all values in the range are different.

• The relation is not a function because one value in the domain goes to multiple values in the range.

• The relation is not a function because there is an ordered pair where the domain is equal to the range.

Is the relation above a function?

• Yes, because it doesn’t show any repeating 𝑥 values in the domain.

• Yes, because every 𝑦 value in the range is different.

• No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

• No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

Which statement is true?

• All functions are relations

• All relations are functions

Which statement is false?

• if an input is mapped to more than one output then it is a function

• if an input is mapped to only one output then it is a function

• if an output has more than one input mapped to it then it is a function

• if an output has only one input mapped to it then it is a function

Select ALL the graphs that represent functions

• Graph 1

• Graph 2

• Graph 3

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Is the function Linear or Nonlinear?

• Linear

• Nonlinear

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Is this graph a function or not a function? 

• Function 

• Not a Function