Rational functions often have x values that make them undefined. However, some of these make "holes" in the graph and others create asymptotes. Refer to the given functions: (image attached with three functions)

1) Fill in the y-values for x-values in the attached chart.

2) Which graphs would you say have a hole at the x-value of 2 and which have an asymptote at the x-value of 2? Explain your decisions.

3) Factor the numerator and denominators of these functions. What conclusions can you make about those functions that make holes and those that make asymptotes?

4) make your own rational function with a hole and your own rational function with an asymptote.

Rational functions often have x values that make them undefined. However, some , of these create "holes" in the graph and others create asymptotes. Refer to the given functions: _ 932 we) _ m2+m6 .903) m24m+4 $3+2$28$ \"' \\'tj 51:220m-l20 1) Fill in the y-values for x-values in the attached chart. 2) Which graphs would you say have a hole at the xvalue of 2 and which have an asymptote at the xvalue of 2? Explain your decisions. 3) Factor the numerator and denominators of these functions. What conclusions can you make about those functions that create holes and those that create asymptotes? 4) Create your own rational function with a hole and your own rational function with an asymptote. \f