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Let A = {1, 2, 3, 4} and R be a relation on A such that {(x, y)|y − x
2 + 2x ≤ 0}. Describe R
by complete listing method and find its domain and range.

Respuesta :

MrRoyal

The function R is {(1, 3), (2, 8), (3,15), (4,24)}

How to describe R by complete listing method?

The given parameters are:

A = {1, 2, 3, 4}

R is a relation on A such that {(x, y)|y = x^2 + 2x ≤ 0}

This means that the values of x are from A = {1, 2, 3, 4}

So, we have:

y = 1^2 + 2(1) = 3

y = 2^2 + 2(2) = 8

y = 3^2 + 2(3) = 15

y = 4^2 + 2(4) = 24

So, we have:

R = {3, 8, 15, 24}

Hence, the function R is {(1, 3), (2, 8), (3,15), (4,24)}

How to find its domain and range?

The domain is the set of the input values, while the range is the set of the output values

So, we have:

Domain: {1, 2, 3, 4}

Range: {3, 8, 15, 24}

Read more about domain and range at:

https://brainly.com/question/10197594

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