Find the domain of the reciprocal function

The video tutorial explains how to identify the domain of a function, particularly when variables are in the denominator. It covers setting the denominator equal to zero to find constraints, using a number line to graphically represent the domain, and expressing the domain using inequalities and interval notation.

What is the first step in identifying the domain of a function?

• Set the denominator equal to zero

• Solve for x

• Factor the expression

• Set the numerator equal to zero

Why is it important to ensure the denominator is not zero when identifying the domain?

• Because it makes the function undefined

• Because it affects the graph's shape

• Because it simplifies the function

• Because it changes the range

If x = -3 makes the denominator zero, what should be done with this value in the domain?

• Ignore it

• Exclude it from the domain

• Include it in the domain

• Use it as a boundary

How is the domain represented on a number line when excluding a specific value?

• With a square bracket

• With a dashed line

• With a closed circle

• With an open circle

What is the interval notation for a domain that excludes x = -3?

• (-3, ∞)

• (-∞, -3) ∪ (3, ∞)

• (-∞, 3) ∪ (3, ∞)

• (-∞, -3) ∪ (-3, ∞)