Master Graphing Rational Functions Part 4

What is the first step in graphing a rational function?

• Plotting the graph

• Finding the intercepts

• Identifying symmetry

• Determining vertical asymptotes

How do you determine if a function has symmetry about the Y-axis?

• Check if the function is even

• Check if the function is odd

• Evaluate the function for positive X and check if it equals the original function

• Evaluate the function for negative X and check if it equals the original function

What is the Y-intercept of a function?

• The point where the graph is undefined

• The point where the graph has a hole

• The point where the graph crosses the Y-axis

• The point where the graph crosses the X-axis

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 entire function equal to zero

• Set X equal to zero

What indicates a vertical asymptote in a rational function?

• The numerator equals zero

• The denominator equals zero

• The function is undefined

• The function has symmetry

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

• By comparing the degrees of the numerator and denominator

• By finding the intercepts

• By plotting the graph

• By identifying the symmetry

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

• x = 0

• x = 1

• y = 0

• y = 1

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

• A point where the graph crosses the X-axis

• A point where the graph crosses the Y-axis

• A point where the function is undefined due to a common factor in the numerator and denominator

• A point where the graph has symmetry

How do you identify a hole in a rational function?

• By finding common factors in the numerator and denominator

• By setting the numerator equal to zero

• By setting the denominator equal to zero

• By checking for symmetry

What should you do when graphing a rational function with a hole?

• Ignore the hole and plot the graph normally

• Plot the graph and mark the hole with a closed circle

• Plot the graph and mark the hole with an open circle

• Do not plot the graph at all