 In this video we provide the solution to question number 12 for practice exam number one for math 1050 We are given a one-to-one function f that we see illustrated below and we're asked to sketch the inverse Graph that is what's the graph of f inverse right here now There's not a lot of work to be shown here But just remember the basic principle to calculate the inverse of a one-to-one graph We have to reflect said graph across the diagonal line y equals x So y equals x is this line is the perfect 45-degree angle it goes through one one two two three three four four Etc. So we want to reflect across that point now. We can use points on the graph to help us out here Like let's take this y-intercept here. This is the point zero comma negative three So when you take the inverse function, you're going to reflect it that that causes you to switch the x and y Coordinate so zero negative three becomes negative three zero So I would I would start with that point to help us out here Also, whenever the function crosses the diagonal line That means the x and y coordinate are actually the same and that's where the function will intersect its inverse And so when you look at this graph f it kind of looks like half of a parabola So the inverse will look kind of like a square root function and using these two points. I'm going to do my best To draw this thing it doesn't have to be picture perfect The idea that I really want to see from a student is that the inverse function is the reflection Across the line y equals x if it looks remotely like that you most likely would get full points on this But do pay attention to coordinates if your coordinates are completely wrong Then a demerit could of course result from that