SOLUTION: Please someone help me understand how to do these problems. Please show all your work so I understand how you did them. THANK YOU! 1. Analyze the graph of the following function

Algebra ->  Rational-functions -> SOLUTION: Please someone help me understand how to do these problems. Please show all your work so I understand how you did them. THANK YOU! 1. Analyze the graph of the following function      Log On


   

Question 709291: Please someone help me understand how to do these problems. Please show all your work so I understand how you did them. THANK YOU!
1. Analyze the graph of the following function.
R(x)= (x^2+x-30)/(x^2-x-20)
2.Find all zeros of the following polynomial. Write the polynomial in factored form.
f(x)= 5x^3-x^2+5x-1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Some help with #1, the rational function.

The numerator and the denominator are factorable.
R%28x%29=%28%28x%2B6%29%28x-5%29%29%2F%28%28x%2B4%29%28x-5%29%29

The graph will be much like f%28x%29=%28x%2B6%29%2F%28x%2B4%29 but will not contain a value for x=5. x is undefined at 5. Watch carefully also that x cannot equal -4 so there is a (vertical asymptote) at x=-4. As x tends toward either negative infinity or positive infinity, R approaches the value of 1.