We are asked to graph the function y=(6x-1)/(3x-1) :
The graph has a vertical asymptote at x=1/3. The graph has a horizontal asymptote at y=2.
Thus the domain is all reals except 1/3 and the range is all reals except 2.
Using division we can rewrite the function as y=1/(3(x-1/3))+2 ; using y=1/x as the base graph the transformation has been shifted right 1/3 units and up 2 units with a vertical dilation of factor 3.
The graph:
Sunday, October 14, 2012
f(x)=(6x-1)/(3x-1) Graph the function. State the domain and range.
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