Function Behavior and Characteristics

The video tutorial explains how to determine when a function is increasing, decreasing, positive, or negative. It uses the X and Y values to identify these intervals, emphasizing the behavior of functions as they move along the X-axis. The tutorial also highlights the importance of understanding these concepts for analyzing functions effectively.

What are the main topics discussed in the introduction of the video?

• Functions being constant

• Functions being increasing, decreasing, positive, and negative

• Functions being linear

• Functions being quadratic

At what point does the function start increasing?

• When X is less than 1

• When X is greater than 1

• When X is less than -1

• When X is equal to 1

What happens to the Y value when X is greater than 1?

• Y value becomes zero

• Y value increases

• Y value remains constant

• Y value decreases

When does the function decrease?

• When X is greater than 3

• When X is greater than 1

• When X is less than 1

• When X is equal to 1

What is the behavior of the function when X is less than 1?

• The function remains constant

• The function decreases

• The function becomes zero

• The function increases

When is the function considered positive?

• When it is on the y-axis

• When it is above the x-axis

• When it is below the x-axis

• When it is on the x-axis

At which X values is the function positive?

• X is between -1 and 3

• X is less than -1 or greater than 3

• X is between 1 and 2

• X is equal to 0

What happens to the Y value when X is less than -1?

• Y value is undefined

• Y value is zero

• Y value is positive

• Y value is negative

When is the function negative?

• When it is above the x-axis

• When it is below the x-axis

• When it is on the y-axis

• When it is on the x-axis

What is the behavior of the function between X values of -1 and 3?

• The function is undefined

• The function is zero

• The function is negative

• The function is positive