What is the first step in graphing rational functions?

• Finding intercepts

• Drawing the graph

• Factoring the expression

• Checking for asymptotes

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

• A factor that cancels in both numerator and denominator

• A zero in the denominator

• A non-zero constant term

• A zero in the numerator

Where do vertical asymptotes occur in a rational function?

• Where the function is undefined

• Where both numerator and denominator are zero

• Where the denominator is zero

• Where the numerator is zero

What is the horizontal asymptote for a rational function where the degree of the numerator is less than the degree of the denominator?

• y = 1

• x = 0

• y = 0

• No horizontal asymptote

Can horizontal asymptotes be crossed by the graph of a rational function?

• Only if the graph is a parabola

• Only if the graph is a straight line

• No, they cannot be crossed

• Yes, they can be crossed

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

• Set the denominator equal to zero

• Set the numerator equal to zero

• Set both numerator and denominator equal to zero

• Set the entire function equal to zero

What is the y-intercept of a rational function?

• The point where the graph crosses the x-axis

• The point where the graph has a hole

• The point where the graph crosses the y-axis

• The point where the graph is undefined

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

• To find the exact value of the function

• To check for holes

• To determine the sign of the function's output

• To find the intercepts

What happens to the graph of a rational function at a vertical asymptote?

• It becomes undefined

• It forms a hole

• It approaches but never crosses the asymptote

• It crosses the asymptote

Why is it recommended to use a graphing calculator after sketching the graph by hand?

• To avoid doing any calculations

• To find the exact intercepts

• To verify the general shape and check for errors

• To ensure the graph is perfectly drawn