Greatest Integer and Absolute Value Functions

The video tutorial explains the greatest integer and absolute value functions, illustrating how they work individually and together. It covers examples with both positive and negative numbers, showing how the greatest integer function rounds down to the nearest whole number. The tutorial also demonstrates how the absolute value function affects the graph, resulting in a v-shaped step function. The video emphasizes understanding the intervals and the importance of open and closed circles in graph plotting.

What is the greatest integer less than or equal to 4.8?

• 3

• 4

• 5

• 4.8

How does the absolute value function affect the greatest integer function for positive numbers?

• It doubles the result

• It has no effect

• It makes the result negative

• It squares the result

What is the greatest integer less than or equal to 1.2?

• 2

• 1

• 1.2

• 0

For a negative number like -3.2, what is the greatest integer less than or equal to it?

• -3.2

• -2

• -4

• -3

What is the absolute value of the greatest integer less than or equal to -1.8?

• 0

• 1

• 2

• 3

What is the greatest integer less than or equal to -0.4?

• -0.4

• 0

• -1

• -2

What shape does the combination of greatest integer and absolute value functions create?

• Parabolic

• Circular

• Linear

• V-shaped

What happens to the function value when moving from 1 to 2 on the graph?

• It decreases

• It becomes negative

• It remains constant

• It jumps to 2

How does the graph behave at integer points like 1 and 2?

• It forms a closed circle

• It forms a square

• It forms a triangle

• It forms an open circle

What is the function value for all numbers between 0 and 1?

• 3

• 1

• 0

• 2