Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Please verify your account before proceeding.

In this lesson, we will learn how to determine whether a given relation is a function.

Q1:

Which of the following relations represents a function?

Q2:

Which of the following is the best description for a function?

Q3:

Which of the following represents a function with input π and output π ?

Q4:

Q5:

If a graph represents a function, how many points of intersection does it have with a vertical line?

Q6:

If π = { β 4 , β 3 , β 2 , β 1 , 0 } , π = ο¬ 1 1 6 , 1 8 , 1 4 , 1 2 , 1 , 2 , 4 , 8 οΈ , and π is the relation from π to π , where π π π means π = 2 π , determine whether π represents a function or not.

Q7:

Which of the following assigns only one π¦ -value to each π₯ -value?

Q8:

Suppose π = { π , π , π } and π = { 1 , 2 } . How many different functions are there from π to π ?

Q9:

Suppose π΄ = { π } and π΅ = { 1 , 2 } . How many different functions are there from π΄ to π΅ ?

Q10:

If π = { π₯ βΆ π₯ β β , 1 β€ π₯ β€ 4 } , and π π π means that π + π is divisible by 5, where π is a relation on π , determine whether π represents a function where π β π and π β π .

Q11:

Given that π₯ and π¦ are real variables, which of the following relations is a function of π₯ ?

Q12:

Suppose π΄ = { π } and π΅ is a set with π elements. How many different functions are there from π΄ to π΅ ?

Q13:

π = { 2 , 4 , 8 } , π = { 8 , 1 3 , 1 5 , 1 9 } , and π is a relation from π to π . If π β π and π β π , which of the following relations represents a function?

Q14:

Suppose π΄ = { π₯ , π₯ } 1 2 and π΅ = { 1 , 2 } . How many different functions are there from π΄ to π΅ ?

Q15:

Given that π = { π , π , π } , π = { 7 , 2 0 , 1 , 1 7 , 1 4 } , and π = { ( π , 1 4 ) , ( π , 7 ) , ( π , 1 7 ) } , where π is a relation from π to π , does π represent a function?

Q16:

If π = { 5 , 4 , 8 } , π = { 4 9 , 1 6 , 6 4 } , and π is a relation from π to π , where π π π means π = β π ; π β π and π β π , does π represent a function?

Q17:

Given that π = { β 7 , 7 , 3 } , π = { 5 8 , 1 3 , π } , and π π π is represented by the equation π = π + 9 2 , where π is a function from π to π , for which π β π and π β π , determine the value of π .

Q18:

Suppose π΄ = { π₯ , π₯ } 1 2 and π΅ = { 1 } . How many different functions are there from π΄ to π΅ ?

Donβt have an account? Sign Up