My Five Step Method For Graphing a Rational Expression 5 Step Method

This video tutorial introduces a five-step method for graphing rational functions. It begins with simplifying the expression by factoring, followed by identifying vertical, horizontal, and oblique asymptotes, as well as holes. The tutorial then covers finding the X and Y intercepts and concludes with plotting points and connecting them to form the graph. The video aims to simplify the process of graphing rational functions and provides practical examples to aid understanding.

What is the first step in the five-step method for graphing rational functions?

• Find intercepts

• Plot points

• Simplify the expression

• Identify asymptotes

Why is it important to factor expressions when simplifying?

• To make the expression longer

• To apply the division property

• To avoid using multiplication

• To change the expression completely

What is a non-removable discontinuity in a graph?

• A vertical asymptote

• A hole

• A horizontal line

• A point on the graph

How do you determine the vertical asymptote of a rational function?

• Find the highest degree term

• Set the denominator equal to zero

• Look for the largest coefficient

• Set the numerator equal to zero

What is the horizontal asymptote when the degrees of the numerator and denominator are equal?

• Infinity

• Zero

• The sum of the coefficients

• The ratio of the leading coefficients

What is the X-intercept of a rational function?

• Where the graph crosses the Y-axis

• Where the numerator equals zero

• Where the denominator equals zero

• Where the graph is undefined

How do you find the Y-intercept of a rational function?

• Find the highest degree term

• Look for the smallest coefficient

• Set X to zero

• Set Y to zero

What should you do after identifying intercepts and asymptotes?

• Plot additional points

• Erase the graph

• Change the function

• Stop graphing

What is the purpose of plotting additional points on the graph?

• To better understand the graph's behavior

• To ensure the graph is a function

• To make the graph look complex

• To avoid using asymptotes

What is the final step in the five-step method for graphing rational functions?

• Simplify again

• Connect the plotted points

• Erase the asymptotes

• Change the function