Asymptotes and intercepts

The video tutorial covers rational expressions, focusing on dividing polynomials and simplifying expressions. It provides a detailed example of polynomial division, explains how to handle remainders, and demonstrates graphing rational functions by identifying vertical and horizontal asymptotes. The tutorial also covers finding X and Y intercepts using the original rational function, emphasizing the importance of using the correct equations for different tasks.

What is a rational expression?

• A polynomial subtracted from another polynomial

• A polynomial multiplied by another polynomial

• A polynomial divided by another polynomial

• A polynomial added to another polynomial

When dividing X + 2 into X + 3, what is the remainder?

• 0

• 1

• 3

• 2

How do you write the remainder when dividing polynomials?

• As a percentage

• As a decimal

• As a whole number

• As a fraction over the divisor

What is the vertical asymptote of the function Y = 1/(X + 2) + 1?

• X = 0

• X = 1

• X = -2

• X = 2

What is the X-intercept of the function Y = (X + 3)/(X + 2)?

• X = -3

• X = 0

• X = 2

• X = 3