Graphing Rational Functions Quiz

What is a vertical asymptote in a rational function?

• A line where the function crosses the y-axis

• A line where the function crosses the x-axis

• A line where the function approaches but never touches

• A point where the function has a maximum value

When does a horizontal asymptote occur if the degree of the numerator is less than the degree of the denominator?

• The horizontal asymptote is the leading coefficient of the numerator

• The horizontal asymptote is y = 1

• There is no horizontal asymptote

• The horizontal asymptote is y = 0

If the degrees of the numerator and denominator are equal, what determines the horizontal asymptote?

• The ratio of the leading coefficients

• The sum of the coefficients

• The leading coefficient of the numerator

• The leading coefficient of the denominator

What is the y-intercept of a rational function?

• The point where the function crosses the x-axis

• The point where the function crosses the y-axis

• The point where the function is undefined

• The point where the function has a hole

How do you input a rational function into a calculator for graphing?

• Enter the numerator and denominator separately

• Use parentheses around the entire function

• Use double parentheses for the denominator

• Enter the function without any parentheses

What might cause a line to appear on a graph where an asymptote should be?

• A calculation error

• A feature of newer calculators

• A mistake in the function input

• A feature of older calculators

What is a hole in a rational function graph?

• A point where the function crosses the x-axis

• A point where the function has a maximum value

• A point where the function is undefined

• A point where the function crosses the y-axis

How do you identify a hole in a rational function?

• By finding the leading coefficient

• By finding where the numerator equals zero

• By finding where the denominator equals zero

• By finding common factors in the numerator and denominator

What happens to the graph of a rational function at a hole?

• The graph has a vertical asymptote

• The graph has a horizontal asymptote

• The graph crosses the x-axis

• The graph is undefined at that point

What is the new function after factoring and canceling terms in a rational function with a hole?

• The function with a new vertical asymptote

• The original function

• The function with the hole removed

• The function with a new horizontal asymptote