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How can you change this to descriptive form, graph it and state the Domain, HA(Asymptote), Y-intercept and X-intercept??Please give me a tutorial!y=(3x+2)/(x+1)thanks a lot.....
The x-intercept occurs when y = 0;0 = (3x+2)/(x+1);This is only true when 3x+2=0 or x = -2/3 Similarly the y-intercept occurs when x = 0;(3x+2)/(x+1) when x = 0 becomes 2/1 or 2A horizontal asymptote occurs when the functions has a limit as x approaches infinity.If you divide the numerator and the denominator by the highest power of x in this question you get;y = (3 + 2/x) / (1 + 1/x)if you let x approach infinity then;y = 3/1 or 3
Sorry, I forgot about the domain.The domain is the range of values of x that give a real value of y.The only time this function would not do so is when the denominator was zero, because division by zero is not allowed.This only happens when x = -1;So the range would be -∞≤x<-1, -1<x≤∞
I'd have just said x∈R, x≠-1. But everything's still right though. Well done.
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