Cube Root Functions and Evaluations

The video tutorial covers graphing square root and cube root functions. It begins with an introduction to these functions and provides step-by-step examples of how to graph them. The tutorial includes techniques for substituting values into functions and plotting points on a graph. It also explains how to interpret the graphs and understand the behavior of these functions. The video concludes with examples of graphing both square root and cube root functions, emphasizing the importance of understanding their graphical representations.

What is the main focus of the video tutorial?

• Graphing exponential functions

• Graphing square root and cube root functions

• Graphing linear functions

• Graphing quadratic functions

If f(x) = √(x - 4), what is f(8)?

• 2

• 1

• 4

• 0

What is the result of f(6) for the function f(x) = √(x - 4)?

• √2

• 2

• 1

• 0

What is the cube root function g(x) defined as in the video?

• g(x) = √(x + 2)

• g(x) = 3√(x + 2)

• g(x) = 3√(x + 2)

• g(x) = 3√(x - 2)

For g(x) = 3√(x + 2), what is g(-1)?

• 2

• -1

• 0

• 1

What is the value of g(1) for the function g(x) = 3√(x + 2)?

• 3√1

• 3√3

• 3√2

• 3√4

What is the first step in graphing the square root function?

• Calculate the slope

• Find the y-intercept

• Draw the x-axis

• Create a table of values

What is the value of f(0) for the function f(x) = √x?

• 3

• 2

• 1

• 0

What is the value of f(4) for the function f(x) = √x?

• 1

• 2

• 3

• 4

What is the value of f(9) for the function f(x) = √x?

• 2

• 5

• 3

• 4