Use four rectangles to find an estimate of each type for the area under the graph of $f(x) = \sqrt{2x}$ from $x=0$ to $x=4.$

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1. Take the sample points from the left-endpoints.
Answer: $L_4 =$

2. Is your estimate $L_4$ an underestimate or overestimate of the true area? Choose one Underestimate Overestimate

3. Take the sample points from the right-endpoints.
Answer: $R_4 =$

4. Is your estimate $R_4$ an underestimate or overestimate of the true area? Choose one Underestimate Overestimate

5. Take the sample points from the midpoints.
Answer: $M_4 =$

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