How to find the x and y intercepts of a rational function

The video tutorial explains how to find X and Y intercepts of a function. It begins with an introduction to X intercepts, followed by a detailed explanation of solving for X intercepts by setting the numerator to zero. The tutorial also covers writing intercepts as coordinate points and introduces a shortcut for finding X intercepts. It then explains the method to find Y intercepts by setting X to zero. The video concludes with a note on the absence of slant asymptotes.

What is the X-intercept of a function?

• The point where the graph has a maximum value

• 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

How can you solve for X when it is in the denominator?

• Multiply both sides by the denominator

• Subtract the denominator from both sides

• Add the denominator to both sides

• Divide both sides by the denominator

What is the shortcut for finding the X-intercept?

• Set both numerator and denominator equal to zero

• Set the numerator equal to zero

• Set the denominator equal to zero

• Set X equal to zero

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

• Set Y equal to zero

• Set X equal to zero

• Set both X and Y equal to zero

• Set the numerator equal to zero

What is the Y-intercept of the function given in the video?

• (-2, 0)

• (2, 0)

• (0, 2/3)

• (0, -2/3)