How to use left hand riemann sum approximation

What is the first step in breaking the interval from 0 to 1 into sub-intervals?

• Divide it into four equal parts

• Divide it into three equal parts

• Divide it into five equal parts

• Divide it into two equal parts

In the left hand rectangle approximation method, where do you start drawing the rectangles?

• From the right endpoint

• From the midpoint

• From the left endpoint

• From the center of the interval

What is the width of each rectangle in the left hand approximation method?

• 1/2

• 1/3

• 1/5

• 1/4

How do you determine the height of each rectangle in the left hand method?

• By using the average of the endpoints

• By using the right endpoint of the interval

• By using the midpoint of the interval

• By using the left endpoint of the interval

What is the formula used to calculate the area of each rectangle?

• Base times length

• Base times height

• Length times width

• Height times width

Is the left hand rectangle approximation an overestimate or an underestimate?

• Underestimate

• Cannot be determined

• Overestimate

• Exact estimate

What property of the graph helps justify the nature of the approximation?

• The graph is constant

• The graph is decreasing and concave

• The graph is increasing and concave

• The graph is linear