Understanding Mason's Ladder Problem

The video tutorial explains a problem involving Mason on a ladder with 15 steps, each 0.5 meters apart. It introduces the function h(n) to denote Mason's height above the ground after moving n steps. The tutorial discusses the domain of this function, emphasizing that it consists of integer values only, as Mason cannot move fractional steps. The domain is defined as a subset of integers ranging from -5 to 10, representing the possible steps Mason can take up or down the ladder.

What is the total number of steps on the ladder Mason is standing on?

• 10

• 12

• 15

• 20

How far apart are the steps on the ladder?

• 1 meter

• 0.5 meters

• 1.5 meters

• 0.25 meters

If Mason is on the 5th step, what is his height above the ground?

• 2.5 meters

• 2 meters

• 1.5 meters

• 3 meters

What does the function h(n) represent in this context?

• The height of the ladder

• The number of steps Mason can move

• The height of Mason's feet above the ground

• The total number of steps on the ladder

Which type of numbers is appropriate for the domain of the function h(n)?

• Real numbers

• Integers

• Decimals

• Fractions

Why can't Mason move a non-integer number of steps?

• He can only move down

• The ladder is too short

• Steps are only defined in whole numbers

• He can only move up

What does it mean if n is zero in the function h(n)?

• Mason moves up

• Mason moves down

• Mason stays put

• Mason jumps off the ladder

What is the lowest value Mason can move down the ladder?

• -6

• -3

• -4

• -5

What is the highest value Mason can move up the ladder?

• 10

• 9

• 11

• 8

What is the interval of the domain for Mason's movement on the ladder?

• [-5, 10]

• [-4, 9]

• [-3, 8]

• [-6, 11]