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 demonstrates solving for values that make the denominator zero and emphasizes using interval notation to express the domain. The tutorial also touches on graphing the function and understanding discontinuities, such as holes or asymptotes, in the graph.

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

• All real numbers except where the denominator is zero

• All real numbers

• Only positive numbers

• Only negative numbers

For the function F(x) = X - 3 / 3 - 7 * X, what value of X is excluded from the domain?

• 3/7

• 7/3

• 1

• 0

Which notation is used to express the domain as all real numbers except a specific value?

• Exponential notation

• Scientific notation

• Set notation

• Interval notation

In interval notation, how is the domain of the function F(x) = X - 3 / 3 - 7 * X expressed?

• (3/7, Infinity)

• [3/7, Infinity)

• (-Infinity, 3/7]

• (-Infinity, 3/7) U (3/7, Infinity)

What does a discontinuity in a graph indicate?

• A point where the graph is negative

• A point where the graph is positive

• A point where the graph is zero

• A point where the graph is undefined