Learn how to write the domain of a rational function using interval notation

The video tutorial explains how to determine the domain of a function, focusing on restrictions caused by variables in the denominator. It guides through setting the denominator to zero to find these restrictions and discusses different notations for expressing domain restrictions, including interval notation. The tutorial also covers graphing these restrictions and understanding potential discontinuities like holes or asymptotes.

What is the domain of a function with a variable in the denominator?

• All real numbers

• All real numbers except where the denominator is zero

• Only negative numbers

• Only positive numbers

In the function F(x) = X - 3 / 3 - 7 * X, what value of X makes the denominator zero?

• 7/3

• 3/7

• 1

• 0

How is the domain of a function expressed using interval notation?

• By listing all possible X values

• By using inequalities

• By using a union of intervals excluding undefined points

• By stating all real numbers

What does a discontinuity in a graph indicate?

• A point where the graph is linear

• A point where the graph is undefined

• A point where the graph is continuous

• A point where the graph is quadratic

What is the interval notation for the domain of the function F(x) = X - 3 / 3 - 7 * X?

• (-Infinity, Infinity)

• (-Infinity, 3/7) U (3/7, Infinity)

• (-Infinity, 0) U (0, Infinity)

• (0, 3/7) U (3/7, Infinity)