Which relation is a function? A. B. C. D.

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

6 0

A function is relationship where a member of the Domain maps to one and only one member of the Range.

To prove a relationship is a function, a VERTICAL LINE TEST may be performed. If a vertical line cuts the graph of a relationship only once then it is a function if not, then it is not.

View the image attached for the test.

The answer is option A

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PLEASE HELP<br> (look at pictures)

Vladimir [108]

<h2>Answer:</h2>

This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,

Reason: Given

Statement: $\angle1\cong\angle2$