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!
thanks a lot.....:o
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 2
A 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≤∞