When looking at the piecewise graph for formulas, first thing I might do is use the the magnifying glass with the plus to make it bigger. This is obviously a line. It's going to have AY intercept of four and a slope of it went down 2 and over one, down 2 and over one. So the first part of this is going to be an equation that's going to say Y equal -2 over One X + 4, and this is true when X is greater than 0 but less than or equal to two. For the second part, we're going to realize that we have two points. We have a point here of two, two. We also have a point over here of 10 zero. If I have two points, I should always be able to find the slope. So M equal 2 - 0 / 2 - 10, the Y minus the Y over the X minus the X, making sure the top and the bottom are from the same point. So the two and the two were from one point and the zero and ten were from one point. So we're going to get 2 / -8 or negative 1/4 is the slope. Now we can use the point slope form that says Y minus the Y value, 0 equal negative 1/4 X minus the X value. I could use either point, but I always choose the one with a zero if I get a chance. So we're going to have Y equaling -1 fourth X + 10 force by multiplying it out 10 force reduces of course to five halves, and this one is only true when X. It's an open dot here, so X needs to be greater than two. It's a closed dot at the 10, so less than or equal to 10. So when we look at these answers, we're looking for -1 fourth X + 5 halves from 2 less than X less than or equal to 10. And we're looking for the negative two X + 4 between zero and two. So if I go back into here and close this out, I needed the negative two X + 4, so that's going to be my answer C.