Constant-Linear

A rational function with constant function as numerator and linear function as denominator is in the form of
    or    .
The first graph below shows the first function mentioned above. Slide the values of a and b to look at the changes of the graphs and also the position of the asymptotes. Observe that the vertical asymptote is x = b and the horizontal asymptote is always y = 0.


The following graph shows the second function. Slide the values of a, b and c to look at the changes of the graphs and also the position of the asymptotes. Observe that the vertical asymptote is now  ; whereas the horizontal asymptote remains as y = 0 .



Betty, Created with GeoGebra