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

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) (Show Source): You can put this solution on YOUR website!
Some help with #1, the rational function.

The numerator and the denominator are factorable.

The graph will be much like 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.

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