Graphing Rational Functions Quiz

What is the first step in graphing a rational function?

• Determining the graph's shape

• Factoring the function

• Checking for holes

• Finding the x-intercepts

What indicates the presence of a hole in the graph of a rational function?

• A zero in the denominator that cancels with the numerator

• A zero in the numerator

• A non-zero constant in the denominator

• A zero in the denominator that does not cancel

How do you determine the location of vertical asymptotes?

• By setting the numerator equal to zero

• By setting the denominator equal to zero

• By finding the highest degree of the numerator

• By finding the highest degree of the denominator

When is a horizontal asymptote present in a rational function?

• When the degree of the numerator is greater than the denominator

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

• When there are no vertical asymptotes

• When the degrees of the numerator and denominator are equal

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

• x = 0

• y = 0

• x = 1

• y = 1

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

• Set the numerator equal to zero

• Set the denominator equal to zero

• Set the function equal to one

• Set both numerator and denominator equal to zero

What is the y-intercept of a rational function?

• The value of x when y is zero

• The point where the graph crosses the x-axis

• The value of y when x is zero

• The point where the graph crosses the y-axis

What is the purpose of sign analysis in graphing rational functions?

• To find exact values of y

• To calculate the slope of the graph

• To determine the general shape of the graph

• To locate vertical asymptotes

Why is it important to verify the graph with a calculator?

• To find the exact intercepts

• To check for any calculation errors

• To determine the degree of the function

• To ensure the graph is perfectly drawn

What should you do if your graph crosses a vertical asymptote?

• Recheck your calculations for errors

• Ignore it as it is normal

• Adjust the horizontal asymptote

• Change the function's equation