Understanding the Range of a Function

In this video tutorial, the instructor explains how to determine the range of a function from its graph. The range is defined as the set of all possible output values, which are found along the vertical axis. The instructor demonstrates how to identify the lowest and highest points on the graph to determine the range, which in this case is from -1 to 8. The video also covers how to express the range using inequalities and interval notation, emphasizing the use of brackets to include endpoints. The tutorial concludes with a brief mention of the next topic, which is finding the function value at a specific point.

What is the range of a function in terms of its graph?

• The set of all possible diagonal values.

• The set of all possible input values.

• The set of all possible output values.

• The set of all possible horizontal values.

Where do the outputs of a function appear on a graph?

• Along the circular axis.

• Along the vertical axis.

• Along the diagonal axis.

• Along the horizontal axis.

What is the significance of the lowest point on a function's graph?

• It determines the maximum value of the range.

• It determines the minimum value of the range.

• It determines the average value of the range.

• It determines the midpoint of the range.

If the lowest point on a graph is closed at -1, what does it imply?

• -1 is not included in the range.

• -1 is the highest value in the range.

• -1 is the only value in the range.

• -1 is included in the range.

How does the highest point on a graph affect the range?

• It sets the maximum value of the range.

• It sets the midpoint of the range.

• It sets the minimum value of the range.

• It sets the average value of the range.

What does a closed point at 8 on the graph indicate?

• 8 is included in the range.

• 8 is the only value in the range.

• 8 is not included in the range.

• 8 is the lowest value in the range.

How is the range expressed using inequalities?

• Outputs are greater than -1 and less than 8.

• Outputs are less than -1 and greater than 8.

• Outputs are greater than or equal to -1 and less than or equal to 8.

• Outputs are equal to -1 and 8 only.

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

• Brackets.

• Parentheses.

• Curly braces.

• Angle brackets.