SOLUTION: f(x)=2x-1 (divided by) 3x^2+4x+1 x - intercept(s): y - intercept: Vertical Asymptote(s): Horizontal Asymptote(s): Domain: End-Behavior: Intervals of Increasing/

f(x) = 


x - intercept(s):  they are zeroes of the numerator binomial.


y - intercept:     it is the value of the function at x= 0.


Vertical Asymptote(s):    they are at the zeroes of the denominator quadratic polynomial.


Horizontal Asymptote(s):  they are at  x ---> oo  and  x ---> -oo.


Domain:                   all real numbers except the zeroes of the denominator.


End-Behavior:             since the degree of the numerator polynomial is LESS than the degree of the denominator

                          polynomial,  the given rational function tends to zero at both x ---> oo  and  x ---> -oo.


Intervals of Increasing/Decreasing:     TOO MANY QUESTIONS IN ONE POST

Intervals of Positive/Negative:         TOO MANY QUESTIONS IN ONE POST