Home > Precalculus > Introduction to Twelve Basic Functions

How do you find the domain and range and is it a function given points #{(1,-2), (1,4), (1,-6), (1,0)}#?

Answer 1

Ariana Alvarez

see explanation below

Domain is equal to {1}.

Range is {-4, -6, 0}.

This relation is one-to-many and given in order pair form; it is not a function.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Caleb Alexander

To find the domain and range of a function given a set of points, we examine the x-values (domain) and y-values (range) of the points. In this case, all the points have the same x-value of 1, which means the domain is {1}.

To determine if the given set of points represents a function, we check if each input (x-value) corresponds to exactly one output (y-value). Since for x = 1, we have multiple y-values (-2, 4, -6, 0), it violates the definition of a function. Therefore, the given set of points does not represent a function.

However, if we were to consider it as a relation, the range would be the set of all y-values, which is {-2, 4, -6, 0}.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.