c. Read values of an inverse function from a graph or a table, given that the function has an inverse.

Students should already know that an inverse function is like switching the places of x and y. If that's the game we're playing, then why not go all the way? We can switch the x and y coordinates of every single point. And in fact, given a graph or table of points, that's exactly what we should do.

If we have a table of values or a set of points, all we need to do is switch the positions of the x and y coordinates and we have the points of the inverse function. It's as easy as that.

Students should know how to graph a function's inverse given the graph of the original function. While they could find specific points, switch the coordinates, and plot them, there is an easier way. A function and its inverse are reflected across the line y = x. Rather than finding a bunch of points to plot, students can simply draw the line of symmetry y = x and reflect the function across it to get the graph of the inverse function.

Here, it's worth reiterating that not all functions have inverse functions. While we could reflect practically anything across the line y = x, that doesn't mean the result will be a function. The vertical line test still applies, remember?