real analysis - Function $f$ from $[0,1]$ to $[0,1]$, bounded, such that the graph of $f$ is not Jordan measurable.

I am currently doing a problem in my real analysis text book and I am having trouble with one in particular. It asks whether or not the graph of a bounded function is Jordan Measurable or not. The function isn't necessarily continuous or continuous almost everywhere continuous it is just bounded. I personally think there does exist a bounded function from $[0,1]$ to $[0,1]$ which has a graph that is not Jordan measurable but I cannot find the function. Any help will be greatly appreciated.