2.3 Graph of the Square Root Function

2.3 Graph of the Square Root Function

Example 10

Graph the square root function $y = 2\sqrt{x} + 1$.

Solution

The domain of $y = 2\sqrt{x} + 1$ is $x \ge 0$, since the square root of a negative number is not real. The range is $y \ge 1$.

Plotting these points gives the graph of $y = 2\sqrt{x} + 1$: it starts at $(0, 1)$ and increases slowly as $x$ grows.