Domain and Range of Functions

The video tutorial explains how to graph square root functions, focusing on determining the domain and range. It covers the basic concept of square root functions, graphing techniques, and how to handle negative values. The tutorial also explores more complex square root functions, providing step-by-step instructions and examples to help learners understand the process of graphing and analyzing these functions.

What is the main restriction when graphing square root functions?

• You cannot take the square root of a positive number.

• You cannot take the square root of a negative number.

• You cannot graph square root functions on a Cartesian plane.

• You cannot use zero in square root functions.

How do you determine which X values can be used in a square root function?

• Set the expression inside the square root to be less than zero.

• Set the expression inside the square root to be greater than zero.

• Set the expression inside the square root to be equal to zero.

• Set the expression inside the square root to be greater than or equal to zero.

Which of the following numbers is a perfect square root that can be used in the X-Y table?

• 3

• 2

• 5

• 4

What is the Y value when X is 4 in the function Y = 2√X?

• 8

• 2

• 6

• 4

What shape does the graph of a square root function resemble?

• A circle

• Half a parabola

• A full parabola

• A straight line

What is the domain of the function Y = 2√X?

• X is less than zero

• X is greater than zero

• X is greater than or equal to zero

• X is less than or equal to zero

What is the range of the function Y = 2√X?

• Y is less than zero

• Y is less than or equal to zero

• Y is greater than zero

• Y is greater than or equal to zero

How do you determine the domain for the function Y = 2√(-X)?

• Set -X equal to zero

• Set -X less than or equal to zero

• Set -X greater than or equal to zero

• Set -X greater than zero

What is the domain of the function Y = 2√(-X)?

• X is greater than zero

• X is less than zero

• X is greater than or equal to zero

• X is less than or equal to zero

What is the range of the function Y = 2√(-X)?

• Y is less than or equal to zero

• Y is less than zero

• Y is greater than or equal to zero

• Y is greater than zero