Rational Functions Anatomy

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.

What does the vertical dashed line represent? Why do you think it exists?

What does the horizontal dashed line represent? Why do you think it exists?

Write the equation of any rational function that never crosses the line .

Write the equation of any rational function that never crosses the lines and

Suppose you graph the rational function . What does the parameter do to the parent graph ? How does it affect it? Explain.

Suppose you graph the rational function . What does the parameter do to the parent graph ? How does it affect it? Explain.

Suppose you graph the rational function . What does the parameter do to the parent graph ? How does it affect it? Explain.