Question

To which family does the function y= (x+2)^1/2 +3 belong? A.quadratic B.square root C.exponential D.reciprocal

Answer 1

Answer:

B.square root

Step-by-step explanation:

Raising anything to the 1/2 power is the same as taking the square root of that term.

Since x would be under the square root sign (since it is part of the term being raised to the 1/2 power), this makes the function a square root function.

Answer 2

It belongs to the square root family. Your answer is B. Why the square root family? Because $y = (x+2)^{\frac{1}{2}} +3$ can be written as $y = \sqrt{(x+2)} + 3$

When you raise to 1/2 or 1/3 it is like saying the square root or the cube root.