Question

Graph the function$y=\sqrt{x-2}$ and then state the domain and range of the function.

Short answer

The graph of the function $y=\sqrt{x-2}$is shown below whose domain is$\left[2,\infty \right)$ and range is $\left[0,\infty \right)$.

Step-by-step solution

Step 1. Write down the given information.

The given function is $y=\sqrt{x-2}$.

Step 2. Sketch the graph of given function.

The graph of the function $y=\sqrt{x-2}$ is shown below.

Step 3. Interpretation from the graph.

From the graph, it can be interpreted that the domain of the function $y=\sqrt{x-2}$is $x\ge 2$ and range is $y\ge 0$.

Mathematically, domain $D_f\in \left[2,\infty \right)$and range data-custom-editor="chemistry" $R_f\in \left[0,\infty \right)$of the function$y=\sqrt{x-2}$.