Question

What is the range of the function y = StartRoot x + 5 EndRoot?
y greater-than-or-equal-to negative 5
y greater-than-or-equal-to 0
y greater-than-or-equal-to StartRoot 5 EndRoot
y greater-than-or-equal-to 5

Answer 1

y = √(x + 5) is defined for x + 5 ≥ 0 ⇒ x ≥ −5. The square root always gives a nonnegative value, and at x = −5 we have y = 0. So the range is y ≥ 0.