Question

What is the range of the function y=√x+5?
O y≥-5
O y≥0
O yz√√5
O y≥5

Answer 1

It's not clear what is under the square root. Is it solely the x only?

In other words, is the equation this: $y = \sqrt{x}+5$ ?

If so, then the range is y≥5 because y = 5 is the smallest possible output. In other words, we can have y = 5 or y > 5. I recommend using a tool like Desmos to graph and verify.

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OR is the +5 also under the square root?

Is the equation this? $y = \sqrt{x+5}$

If so, then the range would be y≥0

The smallest output possible of a square root function is 0. We cannot get negative outputs. This explains how y = 0 is the smallest output. So y = 0 or y > 0, or in short, y≥0