Lesson: Recognizing Functions from Diagrams and Sets

In this lesson, we will learn how to identify and represent a function.

Sample Question Videos

  • 01:31
  • 01:38
  • 02:34

Worksheet: 20 Questions • 5 Videos

Q1:

Does the relation shown by the arrow diagram represent a function?

Q2:

Which of the relations shown by the set of the ordered pairs below does not represent a function?

Q3:

If 𝑓 is a function on 𝑋 , where 𝑋 = { 2 , 4 , 7 , 9 } , 𝑓 ( 2 ) = 9 , 𝑓 ( 4 ) = 2 , 𝑓 ( 7 ) = 4 , and 𝑓 ( 9 ) = 7 , which of the following statements is true?

Q4:

Which of the following relations represents a function from 𝑋 to 𝑌 ?

Q5:

Which of the following relations represents a function?

Q6:

Determine whether the following statement is true or false: The given figure represents a function.

Q7:

Given that 𝑋 = { 2 , 3 , 4 } , which of the following relations defines a function on the domain 𝑋 ?

Q8:

Which of the following Cartesian diagrams represents a function from 𝑥 to 𝑥 , where 𝑥 = 5 , 7 , 9 , 1 1 ?

Q9:

Which of the following relations represents a function given that 𝑥 is the input and 𝑦 is the output.

Q10:

If 𝑓 is a function on 𝑋 , where 𝑋 = { 5 , 7 , 9 , 1 0 } , 𝑓 ( 5 ) = 7 , 𝑓 ( 7 ) = 5 , 𝑓 ( 9 ) = 9 , and 𝑓 ( 1 0 ) = 1 0 , which of the following statements is true?

Q11:

If 𝑓 is a function on 𝑋 , where 𝑋 = { 7 , 6 , 4 , 2 } , 𝑓 ( 7 ) = 6 , 𝑓 ( 6 ) = 4 , 𝑓 ( 4 ) = 7 , and 𝑓 ( 2 ) = 2 , which of the following statements is true?

Q12:

Does the relation shown by the arrow diagram represent a function?

Q13:

Does the relation shown by the arrow diagram represent a function?

Q14:

Does the relation shown by the arrow diagram represent a function?

Q15:

Which of the following relations represents a function from 𝑋 to 𝑌 ?

Q16:

Given that 𝑋 = { 8 , 9 , 1 0 } , which of the following relations defines a function on the domain 𝑋 ?

Q17:

Given that 𝑋 = { 4 , 5 , 6 } , which of the following relations defines a function on the domain 𝑋 ?

Q18:

Given that 𝑋 = { 1 3 , 1 4 , 1 5 } , which of the following relations defines a function on the domain 𝑋 ?

Q19:

Given that 𝑋 = { 1 , 2 , 3 } , which of the following relations defines a function on the domain 𝑋 ?

Q20:

Which of the following Cartesian diagrams represents a function from 𝑥 to 𝑥 , where 𝑥 = 5 , 7 , 9 , 1 1 ?

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