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What are Graphs of Square Root Functions?

Answer 1

Eva Abramson

A parabola is half of what you have.

Consider #y = sqrt x#

#x = 0 => y = 0# #x = 1 => y =1# #x = 4 => y = 2# #x = 9 => y = 3# #x = -1 => # Undefined in #RR#

The top portion of the parabola you have opens to the right.

If you consider #y = -sqrt x#

The lower portion of a parabola that opens to the right is what you have.

#sqrt y = x# and #-sqrt y = x# behaves similarly

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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.

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