Graphing Rational Functions Worksheet 1 Horizontal Asymptotes Answers

Showing top 8 worksheets in the category graphing rational functions. Write a rational function with the given characteristics.

Graphing Rational Functions Worksheet Winonarasheed Com

Vertical and horizontal asymptotes of rational functions example 2 in this example we find the three vertical asymptotes of a rational function as well as its horizontal asymptote.

Graphing rational functions worksheet 1 horizontal asymptotes answers. All reals except 0 range. Graph rational functions identifying zeros and asymptotes when suitable factorizations are available and showing end behavior. There is a zero at 6 a hole exists at x 3 no vertical asymptotes and horizontal asymptote at y x 6.

Y 0 domain. X 1 horz. 1 f x x x 2 f x x x 3 f x x x x x x.

Graphing rational functions worksheet 1 horizontal asymptotes find the domain vertical asymptotes and horizontal asymptotes for the following rational functions. In each of the graphs below only half of the graph is given. This can sometimes save time in graphing rational functions.

If a function is even or odd then half of the function can be graphed and the rest can be graphed using symmetry. Find the value of k given the graphs. 12 there are no zeros a hole exists at x 32 vertical asymptote is at x 1 and horizontal asymptote is at y 0.

All reals except 1. Some of the worksheets displayed are graphing rational asymptotes work asymptotes and holes graphing rational functions work rational functions vertical asymptotes and holes date period prec12 rational functions name work vertical and horizontal asymptotes graphing and properties of hyperbolas. Determine if the functions below are even odd or neither.

Graphing simple rational functions date period identify the vertical asymptotes horizontal asymptote domain and range of each. Showing top 8 worksheets in the category finding asymptotes. X 0 horz.

1 f x 4 x vertical asym. Y 1 domain. Hsf bfb3 identify the effect on the graph of replacing fx by fx k k fx fkx and fx k for specific values of k both positive and negative.

Graphing rational functions date period identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of each. Some of the worksheets displayed are graphing rational graphing simple rational functions asymptotes and holes graphing rational functions graphingrationalfunctions graphing a rational function work rational functions 9 rational functionswork prec12 rational functions name work. Videos worksheets solutions and activities to help precalculus students learn about vertical and horizontal asymptotes of rational functions.

All reals except 0 2 f x 4 x 1 1 vertical asym.

Finding Horizontal Asymptotes Of Rational Functions