Understanding Range and Domain

This video tutorial explains how to determine the domain and range of a continuous function from its graph. The instructor guides viewers through identifying the domain by examining the x-values and the range by examining the y-values, using interval notation. Key points include recognizing solid and open dots on the graph to determine whether endpoints are included in the domain or range.

What is the main focus of this video tutorial?

• Exploring geometric shapes

• Solving algebraic equations

• Understanding domain and range from graphs

• Learning about calculus

What does the domain of a function represent?

• Possible x-values

• Possible t-values

• Possible y-values

• Possible z-values

How do you determine the domain from a graph?

• By looking at the y-axis

• By looking at the t-axis

• By looking at the z-axis

• By looking at the x-axis

What is the significance of a solid dot on the graph?

• The value is optional

• The value is included

• The value is not included

• The value is unknown

What is the smallest x-value in the domain of the given function?

• -3

• -2

• 0

• 3

What is the largest x-value in the domain of the given function?

• 5

• 2

• 3

• 4

What does the range of a function represent?

• Possible t-values

• Possible x-values

• Possible y-values

• Possible z-values

How do you determine the range from a graph?

• By looking at the t-axis

• By looking at the x-axis

• By looking at the z-axis

• By looking at the y-axis

What is the significance of an open circle on the graph?

• The value is optional

• The value is included

• The value is unknown

• The value is not included

What is the smallest y-value in the range of the given function?

• -5

• 4

• 0

• -4