Well, that does work, as long as I don't do something evil like y = (x-0.0001)^2 where the graph may not be precise enough for the student to see it's not symmetric about the y-axis. 😈
8:54 To elaborate a little more on that, we can say that any polynomial function with ONLY odd-powered terms is an odd function & any polynomial function with ONLY even-powered terms is an even function. These aren't definitions of odd and even and thus aren't the best reasons to give on a test, but they are properties of odd and even functions which one could prove. In this property, however, it's important to keep in mind that constant terms count as "0th power" (even power) terms and linear terms count as "1st power" (odd power) terms.
6:33 in the 4th question can we just write f(-x)= ((-x)^4)^(1/5) and then there's even power on -x then it would become (x^4)^(1/5) and then the powers multiply and it again becomes x^(4/5) hence it's even?
@@warrenhughley1214 he simply just divided the whole function by -1, which is now factored out and appears in front of the parentheses. explaining the -1 outside the parentheses and the sign change of the values inside the parentheses.
