Understanding the Domain and Range of a Function

The video tutorial explains how to determine the domain of a function using its graph. It covers the concept of domain as the set of all possible x-values and demonstrates how to identify these values by analyzing the graph from left to right. The tutorial also explains how to express the domain using inequalities and interval notation, emphasizing the use of square brackets for closed endpoints. Finally, it introduces the next topic, which is determining the range of a function.

What is the domain of a function?

• The set of all possible z-values

• The set of all possible inputs

• The set of all possible y-values

• The set of all possible outputs

Where do the inputs of a function occur on a graph?

• Vertical axis

• Diagonal axis

• Horizontal axis

• Circular axis

What is the leftmost x-value in the domain of the function described?

• x = 4

• x = 0

• x = -4

• x = -6

What is the rightmost x-value in the domain of the function described?

• x = 5

• x = 4

• x = 6

• x = 7

What is the significance of a closed point on a graph?

• It is included in the domain

• It indicates a minimum value

• It indicates a maximum value

• It is not part of the domain

How is the domain expressed using inequalities for the given function?

• x >= -4 and x <= 6

• x > -4 and x < 6

• x <= -4 and x >= 6

• x < -4 and x > 6

What notation is used to express the domain when both endpoints are included?

• Curly braces

• Square brackets

• Angle brackets

• Rounded parentheses

What would be used in interval notation if an endpoint is not included?

• Angle brackets

• Rounded parentheses

• Square brackets

• Curly braces

What is the interval notation for the domain of the function described?

• (-4, 6)

• [-4, 6]

• (-4, 6]

• [-4, 6)

What is the next concept to be discussed after the domain?

• Graphing functions

• Determining the range

• Solving equations

• Finding intercepts