Implied domain | #shorts

The video tutorial explains how to find the implied domain of a function by identifying the values for which the function is defined. It highlights that sometimes it's easier to find the values for which the function is not defined, such as when the denominator equals zero or when taking the square root of a negative number. The tutorial provides examples to illustrate these concepts and emphasizes the importance of identifying values that make the denominator zero or the radicand positive.

What is the implied domain of a function?

• The set of all possible values for which the function is defined.

• The set of all positive values.

• The set of all possible values for which the function is not defined.

• The set of all negative values.

Why is division by zero undefined?

• Because zero divided by any number is undefined.

• Because zero times any number is zero, not one.

• Because zero times any number is one.

• Because zero is not a real number.

What happens if you try to take the square root of a negative number?

• It results in an imaginary number.

• It results in a zero.

• It results in a positive number.

• It results in a real number.

How can you find the implied domain of a function?

• By finding values that make the denominator zero or the radicand negative.

• By finding values that make the denominator zero or the radicand positive.

• By finding values that make the numerator zero.

• By finding values that make the numerator positive.

Which of the following is a step in identifying the implied domain?

• Finding values that make the function positive.

• Finding values that make the denominator zero.

• Finding values that make the function negative.

• Finding values that make the numerator zero.