The question appears to ask how to compare the graphs of two functions involving square roots, but the provided functions are incomplete. To properly compare graphs, one needs to complete the definition of the functions, graph them by plotting points and drawing the curve, and analyze the graphs' characteristics.
The question lacked essential information regarding the functions g(x) and f(x), as only the square root symbol was provided without any argument or number beneath it. Comparing the graphs of functions g(x) = √3 (presumably meaning √x = the square root of x) to f(x) = √ (which is incomplete) requires completing the expressions. Assuming the intention was to compare g(x) = √x to another square root function f(x) with a specific argument, graphing both functions would involve plotting the points where each function evaluates on a coordinate plane, using the x-value as the input and the function's output as the y-value.
When using graphical methods to solve problems, the following steps should be taken:
Define the functions clearly with their respective domains and ranges.
Set up a coordinate system with an appropriate scale for both x and y axes.
Plot the points for each function and draw the graph.
Analyze key features such as intercepts, turning points, and asymptotes if any.
Use the graph to compare the functions, looking at points of intersection or relative positions.
Comparing graphs is an excellent way to visualize the relationship between functions and can lead to an understanding of concepts such as function transformations, growth rates, and bounds.