Understanding Intercepts and Behavior of Linear Functions

This video tutorial covers how to determine the intercepts of lines and describes the behavior of linear functions as increasing, decreasing, or constant. It provides a review of function behavior, explaining that a function is increasing if the graph goes up from left to right, decreasing if it goes down, and constant if it remains horizontal. The video includes three examples: an increasing function, a decreasing function, and a constant function, demonstrating how to find vertical and horizontal intercepts and determine ordered pairs for each. The tutorial concludes with a summary of key concepts and intercepts.

What is the main focus of the video tutorial?

• Determining the slope of lines

• Solving quadratic equations

• Finding the intercepts of lines and describing linear function behavior

• Graphing polynomial functions

When is a function considered increasing?

• When x values increase and y values decrease

• When x values decrease and y values increase

• When both x and y values increase

• When both x and y values remain constant

What does a constant function look like on a graph?

• A vertical line

• A horizontal line

• A diagonal line

• A curved line

In the first example, what is the vertical intercept of the line?

• (4, 0)

• (0, -4)

• (8, 0)

• (0, 8)

What is the ordered pair for the horizontal intercept in the first example?

• (4, 0)

• (8, 0)

• (0, 8)

• (0, -4)

What is unique about the intercepts in the second example?

• The line has no intercepts

• The vertical and horizontal intercepts are the same

• The line only has a horizontal intercept

• The line only has a vertical intercept

In the third example, what is the value of the constant output or y-value?

• 12

• 8

• 4

• 0

Why is there no horizontal intercept in the third example?

• The line is curved

• The line is diagonal

• The line is horizontal and does not cross the x-axis

• The line is vertical

What is the ordered pair for the vertical intercept in the third example?

• (0, 8)

• (0, 0)

• (4, 0)

• (8, 0)

What does DNE stand for in the context of intercepts?

• Do Not Evaluate

• Does Not Exist

• Do Not Enter

• Does Not Equal