Graphing Rational Functions Worksheet 1 Horizontal Asymptotes Answers

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

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Videos worksheets solutions and activities to help precalculus students learn about vertical and horizontal asymptotes of rational functions.

Graphing rational functions worksheet 1 horizontal asymptotes answers. 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. 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.

This can sometimes save time in graphing rational functions. X 0 horz. 1 f x x x 2 f x x x 3 f x x x x x x.

1 f x 4 x vertical asym. 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. If a function is even or odd then half of the function can be graphed and the rest can be graphed using symmetry.

Graph rational functions identifying zeros and asymptotes when suitable factorizations are available and showing end behavior. Determine if the functions below are even odd or neither. Graphing rational functions worksheet 1 horizontal asymptotes find the domain vertical asymptotes and horizontal asymptotes for the following rational functions.

Write a rational function with the given characteristics. 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.

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. All reals except 0 range. X 1 horz.

All reals except 1. 12 there are no zeros a hole exists at x 32 vertical asymptote is at x 1 and horizontal asymptote is at y 0. Graphing rational functions date period identify the points of discontinuity holes vertical asymptotes x intercepts and horizontal asymptote of each.

All reals except 0 2 f x 4 x 1 1 vertical asym. In each of the graphs below only half of the graph is given. Find the value of k given the graphs.

Showing top 8 worksheets in the category graphing rational functions.

Rational Function Asymptote Vertical Asymptote Horizontal Asymptote