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This worksheet is designed for students to practice graphing rational functions by identifying horizontal, vertical, and slant asymptotes, holes, zeros, and y-intercepts. Students will need to calculate the domain and range and graph the functions provided.
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How to fill out graphing rational functions ws
How to fill out graphing rational functions ws
01
Identify the rational function to be graphed.
02
Find the domain by determining where the denominator equals zero.
03
Identify and plot the x-intercepts by setting the numerator equal to zero.
04
Identify and plot the y-intercept by evaluating the function at x = 0.
05
Determine the vertical asymptotes by finding the values that make the denominator zero.
06
Find the horizontal asymptote by evaluating the limits of the function as x approaches infinity or negative infinity.
07
Create a table of values to find additional points on the graph.
08
Sketch the graph by plotting the intercepts, asymptotes, and additional points.
Who needs graphing rational functions ws?
01
Students learning algebra and precalculus.
02
Teachers preparing lesson plans on rational functions.
03
Tutors assisting students with graphing techniques.
04
Anyone needing to visualize the behavior of rational functions.
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What is graphing rational functions ws?
Graphing rational functions WS refers to a worksheet or exercise that teaches how to graph rational functions, which are functions defined by a ratio of polynomial expressions.
Who is required to file graphing rational functions ws?
There is no requirement to file anything called 'graphing rational functions ws'; it is typically a learning tool for students in mathematics, particularly in algebra or calculus courses.
How to fill out graphing rational functions ws?
To fill out a graphing rational functions WS, you typically need to identify key features of the rational function such as intercepts, asymptotes, and test points, then plot these on a coordinate system.
What is the purpose of graphing rational functions ws?
The purpose of graphing rational functions WS is to help students understand how to visualize rational functions and analyze their behavior through graphical representation.
What information must be reported on graphing rational functions ws?
Information typically reported includes the function being graphed, asymptotes, intercepts, and a sketch of the graph itself.
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