 In this video, we present the solution to question number 10 for the practice exam. Number one for math 12 10 in which case You're given an illustrated graph on which we're asked to determine where on the graph is it increasing What intervals are is the graph increasing now be aware when you're asking questions as intervals here These will always be intervals of the x-coordins. We're not asking what the y-coordins are asking where in the domain Where what which x-coordins is the function increasing? Okay, so when we look at this graph, where's it increasing? Well, when you go from negative six to negative four the function was decreasing that doesn't quite work now From negative four to negative two. It's increasing from negative two to zero. It's still increasing So that part so far so good. We go from zero to two that was decreasing We don't want that section right there from two to three was increasing So we want that section right there and then from three to six. It's decreasing. We don't want that So we're going to be grabbing this section right here negative four to zero And we should put we should put open parentheses here negative four to zero It was increasing union this sector right here, which was two to three So we look for that amongst the solutions and we see that that would be option number F right here Now I want to mention a few variants of this question It this asked about increasing but it could easily have asked about decreasing which is a very similar function a Question I should say Anywhere is the function constant? That's another issue related to modotonicity This question could also be phrased in concavity in some regard. It could have asked you where is this function concave up? Right, it could ask where was it concave down? It could have asked anywhere. Where was it con? Was it straight right where there's no curvature to it? whatsoever And so if you want to do some extra practice on this question number 10 I want you to revisit it with the questions. Where is it decreasing? Where is it constant? Where is it concave up? Where is it concave down? Where is it straight? Because those could be potential variants and of course on the actual test You'll most likely see a different graph than the one you see right here