Cube Root Functions and Properties

The video tutorial explains how to graph cube root functions, starting with an introduction to cube root functions and perfect cubes. It provides a detailed guide on creating X Y tables and plotting points to graph these functions. The tutorial also covers the domain and range of cube root functions, emphasizing that they are all real numbers. An advanced example is provided to demonstrate graphing a more complex function. The video concludes with a request for feedback and further questions.

What is a unique property of cube root functions compared to square root functions?

• They can only take negative numbers.

• They can only take positive numbers.

• They can take both positive and negative numbers.

• They can only take zero.

Which of the following is a perfect cube?

• 16

• 27

• 20

• 10

Why are specific numbers like -8, -1, 0, 1, and 8 chosen for graphing cube root functions?

• They are all prime numbers.

• They are all even numbers.

• They are all perfect cubes.

• They are all perfect squares.

What is the Y value when X is -8 for the function f(x) = cube root of x - 4?

• -2

• -4

• 0

• -6

What is the general shape of a cube root graph?

• A parabola

• A straight line

• A curve that extends in both directions

• A circle

What is the domain of a cube root function?

• Only positive numbers

• Only integers

• Only negative numbers

• All real numbers

What is the range of a cube root function?

• Only integers

• All real numbers

• Only negative numbers

• Only positive numbers

How do you adjust the X values when graphing a function like y = -cube root of (x - 1) + 7?

• Divide each X value by 2

• Add 1 to each X value

• Subtract 1 from each X value

• Multiply each X value by 2

What is the Y value when X is 0 for the function y = -cube root of (x - 1) + 7?

• 6

• 5

• 8

• 7

What is the Y value when X is 9 for the function y = -cube root of (x - 1) + 7?

• 6

• 5

• 7

• 9