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B. Give the equation of the vertical asymptote and d. the R1- and I-intercepts of the graph. c. Find the value of I when the value of R1 is 140 ohms. CCSS PERSEVERANCE The current in amperes in an electrical circuit with three resistors in a series is given by the equation the voltage in volts in a the circuit and R1 R2 and R3 where V is are the resistances in ohms of the three resistors. A. Let R1 be the independent variable and let I be the dependent variable. Graph the function if V 120...
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How to fill out 8-4 graphing rational functions

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How to fill out 8-4 graphing rational functions

01
Start by identifying the horizontal and vertical asymptotes of the rational function.
02
Factor the numerator and denominator of the rational function to determine any holes in the graph.
03
Set the denominator equal to zero to find any vertical asymptotes.
04
Determine the behavior of the function near the vertical asymptotes by evaluating the function for values slightly greater and slightly less than the asymptotes.
05
Plot any holes in the graph by evaluating the function at the corresponding x-values.
06
Evaluate the function for x-values outside the domain to check for horizontal asymptotes.
07
Plot multiple points on the graph using x and y-values to sketch the general shape of the rational function.
08
Connect the plotted points smoothly to form the graph of the rational function.

Who needs 8-4 graphing rational functions?

01
Students studying advanced mathematics or calculus often need to graph rational functions as part of their coursework.
02
Mathematicians, engineers, and scientists who work with functions and equations may need to graph rational functions to analyze and understand their properties.
03
Individuals who are preparing for standardized tests such as the SAT or ACT may need to know how to graph rational functions for the math sections of these exams.
04
Teachers and tutors may need to teach or explain how to graph rational functions to their students.
05
Anyone interested in understanding the visual representation of a rational function and its key features may choose to learn how to graph them.
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8-4 graphing rational functions involves graphing functions that can be expressed as ratios of two polynomials.
Students studying algebra or calculus may be required to graph rational functions as part of their coursework.
To graph rational functions, first identify any vertical or horizontal asymptotes, then plot key points and sketch the graph accordingly.
The purpose of graphing rational functions is to visualize and understand the behavior of the function as x approaches different values.
Information such as the equation of the rational function, location of asymptotes, intercepts, and end behavior must be reported on the graph.
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