Graphing Rational Functions Quiz

What is the first step in graphing a rational function?

• Identify the asymptotes

• Factor the numerator and denominator

• Find the x-intercepts

• Determine the range

Why is it important to identify domain restrictions in a rational function?

• To simplify the equation

• To determine the y-intercepts

• To avoid dividing by zero

• To find the range

What is a removable discontinuity in a graph?

• A point where the graph crosses the y-axis

• A vertical asymptote

• A hole in the graph

• A point where the graph crosses the x-axis

How can you find the y-value of a hole in a rational function?

• By setting the numerator to zero

• By substituting the x-value into the simplified equation

• By using the original equation

• By finding the x-intercept

What determines the vertical asymptote of a rational function?

• The x-intercept

• The denominator

• The degree of the polynomial

• The numerator

How do you find the horizontal asymptote of a rational function?

• By comparing the degrees of the numerator and denominator

• By finding the y-intercept

• By finding the x-intercept

• By setting the numerator to zero

What is the x-intercept of a rational function?

• The point where the graph has a vertical asymptote

• The point where the graph has a hole

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

How can you find the y-intercept of a rational function?

• By finding the horizontal asymptote

• By setting y to zero

• By setting x to zero

• By finding the vertical asymptote

What does the end behavior of a rational function describe?

• The behavior of the graph as x approaches zero

• The behavior of the graph as x approaches infinity

• The location of the vertical asymptote

• The location of the horizontal asymptote

How is the behavior near a vertical asymptote described?

• By the x-intercept

• By the y-intercept

• By the direction the graph approaches the asymptote

• By the horizontal asymptote