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i have the function f(x) = x^2+3(x)/2(x)^2+6(x)+4. I need to calculate the intervals on which f is increasing or decreasing, the nature of any stationary points and the value of f at each of these points. I also need to work out the asymptotic behaviour of f. I dont know where to begin!!! Please can anyone help.
so far I have factorised the denominator of f(x) to (2x+4)(x+1) giving x =-1 and x = -2. Which gave me intervals of (-infinity,-2) where f is positive, (-2,-1) where f is negative and (-1,infinity) where f is positive.
I determined that the function was neither od or even as no features were symmetrical.
Found the y intercept to be 0 and the x-intercepts to be 0 and -3
and now Im at a stand still and dont know what to do next?