What are some examples of end behavior?
1 Answer
The end behaviour of the most basic functions are the following:
Constants
A constant is a function that assumes the same value for every
Polynomials

Odd degree: polynomials of odd degree "respect" the infinity towards which
#x# is approaching. So, if#f(x)# is an odddegree polynomial, you have that#lim_{x\toinfty} f(x)=\infty# and#lim_{x\to+infty} f(x)=+\infty# ; 
Even degree: polynomials of even degree tend to
#+\infty# no matter which direction#x# is approaching to, so you have that
#lim_{x\to\pm\infty} f(x)=+\infty# , if#f(x)# is an evendegree polynomial.
Exponentials
The end behaviour of exponential functions depends of the base
While if
Logarithms
Logarithms exist only if the argument is strictly greater than zero, so their only end behaviour is for
while if
Roots
Like logarithm, roots don't accept negative numbers as input, so their only end behaviour is for