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

The video tutorial explains how to find X and Y intercepts in equations. It begins with an introduction to X intercepts, followed by a detailed explanation of solving for X when it appears in the denominator. The instructor demonstrates how to write intercepts as coordinate points and introduces a shortcut for finding X intercepts by setting the numerator to zero. The tutorial also covers finding Y intercepts by setting X to zero and concludes with a note on the absence of slant asymptotes.

What is the X-intercept of a function?

• The point where the graph crosses the X-axis

• The point where the graph is undefined

• The point where the graph crosses the Y-axis

• The point where the graph has a maximum

Why is it necessary to eliminate the denominator when solving for the X-intercept?

• Because X cannot be solved when it is in the denominator

• Because it simplifies the equation

• Because the denominator is always zero

• Because it makes the graph linear

What is the shortcut for finding the X-intercept?

• Setting X equal to zero

• Setting both numerator and denominator equal to zero

• Setting the numerator equal to zero

• Setting the denominator equal to zero

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

• By setting X to zero

• By setting Y to zero

• By finding the slope of the function

• By setting both X and Y to zero

What is a slant asymptote?

• A point where the graph is undefined

• A line that the graph approaches as X goes to infinity

• A horizontal line that the graph never touches

• A vertical line that the graph crosses