Master Graphing Rational Functions Part 3

The video tutorial demonstrates how to graph rational functions using a seven-step process. It covers testing for symmetry, finding X and Y intercepts, determining vertical and horizontal asymptotes, and plotting points to graph the function. An example problem is solved to illustrate the process.

What is the first step in the seven-step process for graphing rational functions?

• Finding the Y-intercept

• Testing for symmetry

• Determining vertical asymptotes

• Plotting points

How do you test for symmetry about the Y-axis?

• Plug in F of negative X

• Check if the function is odd

• Plug in F of X

• Check if the function is even

What is the Y-intercept of a function?

• Where the function crosses the Y-axis

• Where the function crosses the X-axis

• Where Y equals 0

• Where X equals 0

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

• Set the numerator equal to zero

• Find where the function is zero

• Set the denominator equal to zero

• Find where the function is undefined

What is the horizontal asymptote when the degree of the denominator is greater than the numerator?

• Y = 0

• X = 1

• Y = 1

• X = 0

What is the significance of a horizontal asymptote in graphing?

• It indicates where the graph crosses the X-axis

• It is where the graph is undefined

• It shows the end behavior of the graph

• It is where the graph crosses the Y-axis

How do you determine the shape of the graph near asymptotes?

• By plotting points and observing the approach to asymptotes

• By finding the intercepts

• By using a calculator

• By testing for symmetry

What is the symmetry of the second rational function?

• Symmetrical about the origin

• Symmetrical about the Y-axis

• No symmetry

• Symmetrical about the X-axis

What is the horizontal asymptote of the second function?

• Y = 0

• Y = 1

• Y = 4

• Y = -1

How can symmetry simplify the graphing process?

• By providing exact intercepts

• By eliminating the need for asymptotes

• By allowing you to only graph one side and reflect

• By making the function linear