Question

does the equation \\( y = \sqrt{x + 7} \\) define \\( y \\) as a function of \\( x \\)?
\\( \bigcirc \\) yes
\\( \bigcirc \\) no
question help: \\( \square \\) video \\( \square \\) message instructor

Explanation:

Step1: Recall function definition

A function assigns exactly one $y$-value to each valid $x$-value.

Step2: Analyze square root behavior

The principal square root $\sqrt{x+7}$ returns only non-negative real numbers. For every valid $x$ (where $x \geq -7$, to keep the radicand non-negative), there is exactly one corresponding $y$-value.

Answer:

yes