SOLUTION: What is the domain of the given function and what is the x-intercept and y intercept of the function, also draw the graph by using the standard model f(x)=3x^4+3x^3-6

Algebra ->  Rational-functions -> SOLUTION: What is the domain of the given function and what is the x-intercept and y intercept of the function, also draw the graph by using the standard model f(x)=3x^4+3x^3-6      Log On


   

Question 1008562: What is the domain of the given function and what is the x-intercept and y intercept of the function, also draw the graph by using the standard model
f(x)=3x^4+3x^3-6x^2
divided by x^2+x-2
The problem should read f(x)= 3x to the fourth power plus 3x to the third power minus 6x squared DIVIDED BY x squared plus x minus two

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pure text, the function is f(x)=(3x^4+3x^3-6x^2)/(x^2+x-2)

The triple curly braces rendering tags make it appear as you want,
f%28x%29=%283x%5E4%2B3x%5E3-6x%5E2%29%2F%28x%5E2%2Bx-2%29.

You will see more clearly how to solve if you factorize and look for what those results mean. Roots? Asymptotes? Intervals on x? Domain and range?

First step,
%283x%5E2%28x%5E2%2Bx-2%29%29%2F%28x%5E2%2Bx-2%29
and then
%283x%5E2%28x%2B2%29%28x-1%29%29%2F%28%28x%2B2%29%28x-1%29%29

This will be a PARABOLA but TWO POINTS ARE MISSING from it.
Based on y=3x%5E2. but then multiplied by 1, twice.