Learn to find the values of x that the function undefined

The video tutorial explains how to determine the values that make a function undefined. It covers the conditions for radicals and denominators, emphasizing that certain values cannot equal zero. The tutorial clarifies common confusions and errors, highlighting the importance of inequalities in defining functions. It concludes by identifying the specific values that render the function undefined, ensuring a clear understanding of the topic.

What must be true for a radical expression to be defined?

• The expression inside must be less than zero.

• The expression inside must be greater than zero.

• The expression inside must be greater than or equal to zero.

• The expression inside must be equal to zero.

Why is the value x = 3 significant in determining if the function is undefined?

• It makes the denominator zero.

• It makes the function equal to zero.

• It makes the function positive.

• It makes the radical negative.

Which of the following intervals correctly defines where the function is undefined?

• x < -1 or x > 3

• x < 0 or x > 3

• x < 2 or x > 3

• x < -2 or x > 3

What is the correct interval for the function to be defined?

• x > -2 and x < 3

• x > -1 and x < 3

• x > 0 and x < 3

• x > 1 and x < 3

What mistake was corrected regarding the value x = 3?

• It was initially thought to be less than 3.

• It was initially thought to be defined.

• It was initially thought to be greater than 3.

• It was initially thought to be undefined.