The graph shown in the image is incorrect for the function $f(x) = \sqrt{x}$. The function $\sqrt{x}$ is only defined for $x \geq 0$, and its graph has the following properties:

1. The graph starts at the point $(0, 0)$ because $\sqrt{0} = 0$.
2. It increases slowly to the right, forming a curve that is only in the first quadrant.
3. The curve never goes below the x-axis and does not exist in the negative x-values.

In the image, the graph appears to be a parabola, which is the wrong shape. A parabola typically represents quadratic functions such as $f(x) = x^2$, but not $f(x) = \sqrt{x}$.

If you were looking for the correct graph of $f(x) = \sqrt{x}$, it would:

• Start at the origin and curve upward, only extending into the first quadrant.

Do you want further details or have any other questions about this graph?

Here are 5 follow-up questions:

1. How do you graph the function $f(x) = \sqrt{x}$ step by step?
2. What are the domain and range of the function $f(x) = \sqrt{x}$?
3. How does $f(x) = \sqrt{x}$ differ from quadratic functions like $f(x) = x^2$?
4. Can negative values be part of the input for $f(x) = \sqrt{x}$? Why or why not?
5. What transformations can be applied to the square root function to change its graph?

Tip: When graphing radical functions, always check the domain, as they might not be defined for certain values of $x$.