<h2>Option C. {(-2,2) , (0,2) , (7,2) , (11,2)} is a function</h2>
<h3>Further explanation</h3>
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 :
- <em>Linear Function → f(x) = ax + b</em>
- <em>Quadratic Function → f(x) = ax² + bx + c</em>
- <em>Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x</em>
- <em>Logarithmic function → f(x) = ln x</em>
- <em>Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...</em>
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)}
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic , Definition , Relation