Question

which relation represents a function? a. {(0,0,(2,3),(2,5),(6,6)} b. {(3,5),(8,4),(10,11),(10,6)} c. {(-2,2),(0,2),(7,2),(11,2)} d. {(13,2),(13,3),(13,4)(13,5)}

Answer 1

A function will not have any repeating x values....they all have to be different. The y's can be repeating, just not the x's.

So just look at ur x terms and find the set that has all different x terms...no repeating ones.

answer is : C

Answer 2

Option C. {(-2,2) , (0,2) , (7,2) , (11,2)} is a function

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

• Linear Function → f(x) = ax + b

• Quadratic Function → f(x) = ax² + bx + c
• Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
• Logarithmic function → f(x) = ln x
• Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

According to the definition above, it can be concluded that a function cannot have the same x value.

Of the relation available in choices, option C is a function. This is because all of the x values are different.

{(-2,2) , (0,2) , (7,2) , (11,2)}

Learn more

• Inverse of Function : https://brainly.com/question/9289171
• Rate of Change : https://brainly.com/question/11919986
• Graph of Function : https://brainly.com/question/7829758

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic , Definition , Relation