Graphing Rational Functions Quiz

What is the first step in graphing a rational function?

• Finding the x-intercept

• Factoring the numerator and denominator

• Drawing the graph

• Calculating the y-intercept

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

• By calculating the y-intercept

• By setting the numerator to zero

• By setting the denominator to zero

• By finding the x-intercept

What is the condition for a rational function to have a slant asymptote?

• The degrees of the numerator and denominator are equal

• The degree of the denominator is one more than the degree of the numerator

• The degree of the numerator is less than the degree of the denominator

• The degree of the numerator is one more than the degree of the denominator

What method is used to find the slant asymptote of a rational function?

• Completing the square

• Factoring

• Long division

• Synthetic division

Why are there no x-intercepts in this rational function?

• The function is not defined for any x

• The quadratic formula yields imaginary numbers

• The denominator is always zero

• The numerator cannot be set to zero

What is the y-intercept of the given rational function?

• 2

• -1

• 1

• 0

What is the significance of the vertical asymptote in the graph?

• The graph is undefined at the asymptote

• The graph is symmetrical around the asymptote

• The graph approaches but never touches the asymptote

• The graph crosses the asymptote

How do you find additional points for graphing the rational function?

• By using the inverse function

• By finding the derivative

• By substituting values into the original function

• By using the quadratic formula

What is the role of the slant asymptote in the graph?

• It is the maximum value of the function

• It is the line the graph approaches as x goes to infinity

• It is the line the graph crosses

• It is the axis of symmetry

What is the final step in graphing the rational function?

• Calculating the y-intercept

• Drawing the graph with asymptotes and points

• Finding the x-intercept

• Factoring the function