Posted by Rachal on Friday, February 4, 2011 at 5:58pm.
wherever it crosses the x axis is a zero so
(x - xcrossing ) is a factor
If it gets near the x axis but goes horizontal and veers away again, that is a complex root pair.
like
y = x^2 + 2 x + 4
zeros at
x = [ -2 +/-sqrt (4 - 16)]/2
x = -1 +/- (1/2)sqrt (-12)
= -1 +/- i sqrt 3
where would that be horizontal (extrema)?
0 = 2x + 2
x = -1 at extrema (sure enough)
if it goes big +y for both big plus and minus x, then the first term is a x^even power
if it is big minus for -x and big Plus for +x (or vice versa for - coefficient)then first term is x^odd power.
af
Related Questions
Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...
College Algebra - 1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the ...
College Algebra - 1.Answer the following for the given quadratic function. f(x...
algebra - find the following for the function f(x)= (x+5)^2(x-1)^2 a) find the ...
calculus - answer the questions about the following function f(x)= 10x^2/x^4+25 ...
college algebra - Graph the following function using transformations. ...
college algebra - Question 638522: Graph the following function using ...
math - You are designing a rain gutter made from a piece of sheet metal that is...
how to sketch a graph of.. - Local minimum and local maximum imply that the ...
Math - Fundamental Theorem - We can actually use the Zeros Theorem and the ...
For Further Reading
