Graphing Something Horrible with the Power of Common Sense

[@JESUS_CHRlST]

Very nice, it’s even faster to work back from the right hand side of the graph. Spot that it is +ve for large x, then the root at 60 is a local minimum as the root is repeated an even number of times, then crosses the axis at 2 as that root is repeated an odd number of times etc. so no need to sub values in

[@adamdemeter6963]

Nice video! Keep up the good work!

[@armelfrancois7009]

why not differentiate to find out the turning points?

[@JamesTantonMath]

If you are doing this in a pre-calculus class, the you don't yet know what that means. But if you have calculus under your belt, give it t try! (Actually, do give it a try for the example given.)