Is the equation #y=3# a direct variation, if so what is the constant of variation?

Answer 1

Actually, your equation represents something that doesn`t vary...

Well, this equation represents a CONSTANT. Basically, regardless to the real #x# value you may choose #y# will always be #3# and never change... Graphically: graph{0x+3 [-10, 10, -5, 5]}

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Answer 2

Ethan Adkins

Yes, the equation ( y = 3 ) represents a direct variation. The constant of variation is ( k = 0 ), since the value of ( y ) remains constant regardless of the value of ( x ).

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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.