Question 1175146

How To: Given a relationship between two quantities, determine whether the relationship is a function.

{({{{-4}}},{{{11}}}), ({{{-3}}},{{{4}}}), ({{{0}}},{{{-5}}}), ({{{3}}},{{{4}}}), ({{{5}}},{{{20}}})}

Identify the input values.=> domain is {{{-4}}},{{{-3}}},{{{0}}},{{{5}}}


Identify the output values.=> range is {{{11}}},{{{4}}},{{{-5}}},{{{20}}}

If each input value leads to {{{only}}}{{{ one}}} output value, classify the relationship as a function.

as you can see pairs ({{{-3}}},{{{4}}}) and ({{{3}}},{{{4}}}) two different inputs  lead to same output


so, answer is C. not a function


an example:

<a href="https://ibb.co/3rNVkT0"><img src="https://i.ibb.co/3rNVkT0/relationsandfunctions2.png" alt="relationsandfunctions2" border="0"></a>


In the above mapping from C to D, every element of C has an image in D. 

But, the element '2' in C has two images (20 and 40) in D. Since the above relation does not meet the second condition, it is not a function.