Question

Complete the table to describe the end behavior for any polynomial function

Answer 1

we know that

Even degree function

For an positive leading coefficient

if

f(x) -------> +infinite x -------> -infinite

f(x) -------> +infinite x -------> +infinite

OR

A -----> +infinite B -----> -infinite

A -----> +infinite B------> +infinite

Odd degree function

For an positive leading coefficient

if

f(x)------> -infinite x ----> -infinite

f(x) -----> +infinite x-----> + infinite

OR

A -----> -infinite B -----> -infinite

A -----> +infinite B ----> +infinite