112k views
11 votes
Is x=|y| with inputs x=1, x=2, and x=3 a function? Explain

1 Answer

11 votes

Answer: This is not a function

======================================================

Step-by-step explanation:

If x = 1, then,

x = |y|

1 = |y|

|y| = 1

y = plus/minus 1

y = 1 or y = -1

The input x = 1 leads to more than one output y = 1 and y = -1 at the same time.

Similar situations occur with x = 2 and x = 3.

This means we do not have a function. A function can only be possible if each input leads to exactly one output.

User Toschneck
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories