How to find all of the intercepts and asymptotes of a rational equation

The video tutorial covers the identification of X and Y intercepts in functions, with a focus on rational functions. It provides tricks for simplifying the process of finding intercepts and discusses vertical asymptotes and discontinuities, including holes and asymptotes. The tutorial also briefly touches on horizontal asymptotes, encouraging students to explore these concepts further.

What is the X-intercept of a function?

• The point where the graph has a hole

• The point where the graph is undefined

• The point where the graph crosses the X-axis

• The point where the graph crosses the Y-axis

For a rational function, how can you quickly find the X-intercept?

• Set both numerator and denominator equal to zero

• Set the numerator equal to zero

• Set X equal to one

• Set the denominator equal to zero

How do you find the Y-intercept of a function?

• Set Y equal to zero

• Set the numerator equal to zero

• Set X equal to zero

• Set both X and Y equal to zero

What is a vertical asymptote?

• A line where the graph is undefined

• A point where the graph crosses the X-axis

• A line where the graph approaches but never touches

• A point where the graph crosses the Y-axis

When solving for vertical asymptotes, why is it important to include plus or minus?

• To ensure all possible solutions are considered

• To simplify the equation

• To find the horizontal asymptote

• To find the Y-intercept