Analyzing Function Behavior and Transformations

The video tutorial covers the concepts of domain, range, and behavior of square root functions. It explains how to graph these functions and analyze their transformations, including horizontal and vertical shifts, reflections, and stretches. The tutorial provides examples of different function types and guides viewers through identifying domain and range, as well as understanding the end behavior of functions.

What is the main focus of today's lesson?

• Studying polynomial functions

• Understanding quadratic functions

• Learning about domain, range, and behavior of functions

• Exploring linear equations

What is the horizontal shift for the function TK of x - 5 + 3?

• Up 5 units

• Left 5 units

• Down 5 units

• Right 5 units

What is the vertical shift for the function TK of x - 5 + 3?

• Up 3 units

• Down 3 units

• Left 3 units

• Right 3 units

What is the domain of the function TK of x - 5 + 3?

• [3, ∞)

• (-∞, 5]

• (-∞, 3]

• [5, ∞)

What is the range of the function TK of x - 5 + 3?

• [3, ∞)

• (-∞, 3]

• [5, ∞)

• (-∞, 5]

What happens to F(x) as x approaches infinity for the function TK of x - 5 + 3?

• F(x) approaches 5

• F(x) approaches zero

• F(x) approaches 3

• F(x) approaches infinity

What is the starting point for the function negative square TK of x + 3 subtract four?

• (3, 4)

• (-3, -4)

• (0, 0)

• (-4, -3)

What is the domain of the function negative square TK of x + 3 subtract four?

• (-∞, 3]

• [3, ∞)

• [-3, ∞)

• (-∞, -3]

What is the range of the function negative square TK of x + 3 subtract four?

• [4, ∞)

• (-∞, -4]

• (-∞, 4]

• [-4, ∞)

What happens to F(x) as x approaches infinity for the function negative square TK of x + 3 subtract four?

• F(x) approaches 4

• F(x) approaches -4

• F(x) approaches zero

• F(x) approaches negative infinity