This excluded value is usually referred to as hole in the rational function. To enter the calculator’s display and key test mode, press and hold SHIFT and 7, then ON. Find the x -intercept (s) and y -intercept of the rational function, if any. To represent the undefined function, make sure that the function is not continuous smooth curve at the excluded value. Steps involved in graphing rational functions: Find the asymptotes of the rational function, if any. In that case, if there are any excluded values (where the function is not defined) other than at asymptotes, then there is additional step involved in graphing the function. Sometimes the given rational function has to be simplified, before graphing it. Find more points on the function and graph the function. polynomial division, where the quotient is the equation of the oblique asymptote. Oliver is solving the rational equation 2 2 12 x x x x. Since we approximated in the previous step, these aren't the exact minima and maxima, but are probably close.

How can we solve a rational equation by graphing it 14. Notice that this equation is undefined at x -2, and the graph also is showing a vertical asymptote at x -2. Plug the x -values from the previous step back into the original rational function to find the corresponding y -values. List at least three things you notice about the function. The vertical asymptote of the rational function is In this section we will explore asymptotes of rational functions. Use the graph of the function 2 1 fx x below to complete each of the following. Equate the denominator to zero and find the value of value where the denominator of the function is zero. The vertical asymptote of a rational function is

Graphing rationa fx equation