How to find the domain of a rational function - domain and range

The video tutorial explains how to determine the domain of functions, focusing on rational functions and quadratic expressions. It begins by defining the domain and its importance in functions, using examples to illustrate when an input does not yield an output. The tutorial then delves into solving domain issues in rational functions by identifying values that make the denominator zero. It further explores quadratic expressions, explaining the process of factoring to find values that result in zero. The video concludes by summarizing the steps to determine the domain, emphasizing the importance of identifying values that make the denominator zero.

What is the domain of a function where the expression is 3/X?

• All real numbers except X = 0

• All negative numbers

• All real numbers

• All positive numbers

What is the first step in finding the domain of a rational function?

• Multiply the numerator and denominator

• Solve for X in the numerator

• Find the values that make the denominator zero

• Identify the numerator

In the quadratic expression X^2 + 8X + 15, what are the values of A, B, and C?

• A = 1, B = 15, C = 8

• A = 15, B = 8, C = 1

• A = 8, B = 1, C = 15

• A = 1, B = 8, C = 15

Which two numbers multiply to 15 and add to 8 in the expression X^2 + 8X + 15?

• 4 and 4

• 3 and 5

• 2 and 7

• 1 and 15

What is the domain of the function after factoring the expression X^2 + 8X + 15?

• All real numbers except X = -3 and X = -5

• All real numbers except X = 3 and X = 5

• All real numbers

• All positive numbers