Cube Root Functions and Properties

The video tutorial explains how to graph cube root functions, emphasizing the importance of using perfect cubes for accurate plotting. It covers the domain and range of these functions, which are always all real numbers. The tutorial also demonstrates graphing cube root functions with transformations, ensuring symmetry in the X values. The video concludes by encouraging viewer interaction and feedback.

What is a unique property of cube root functions?

• They can only take zero.

• They can only take negative numbers.

• They can only take positive numbers.

• They can take both positive and negative numbers.

Which of the following is a perfect cube?

• 50

• 27

• 10

• 15

What is the first step in graphing a cube root function?

• Draw the graph directly.

• Find the range.

• Create an X-Y table.

• Calculate the domain.

Why are perfect cubes used in the X-Y table?

• They are more complex.

• They are random choices.

• They are larger numbers.

• They are easier to evaluate.

What is the Y value when X is -8 in the first example?

• -4

• -5

• -6

• -3

What is the domain of the first cube root function?

• Only negative numbers

• Only positive numbers

• All real numbers

• Only integers

What transformation is applied in the second example?

• Addition of a constant

• Subtraction of a constant

• Multiplication by a constant

• Division by a constant

How do you adjust the X values for the second example?

• Multiply each X value by 2

• Divide each X value by 2

• Subtract 1 from each X value

• Add 1 to each X value

What is the Y value when X is 0 in the second example?

• 8

• 7

• 6

• 5

What is the range of the second cube root function?

• Only integers

• All real numbers

• Only negative numbers

• Only positive numbers