With the function f(x)=x^2 we get a graph like so...
The rule for power functions, that I've been told, is the larger the power gets, the closer the line will touch the x-axis.
Example for f(x)=x^10
My understanding the reason this is, is because no matter how many times you multiply 1/-1 you will always get 1 for the output. So you should always have the parabola curving vertically right at -1/1. That part makes complete sense.
My question is, when you multiply 0.9^200 it equals 7.05...
So, the input 0.9 and output 7.05.. do not seem to stay within the parabola because the parabola doesn't start going vertical till it hits -1/1 on the x-axis..
Am I seeing this right?