The graph of a function is shown below as a blue curve. Create a visualization of a left-endpoint approximation for the area under the curve on the interval [-6, 3] using 9 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:
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The graph of a function is shown below as a blue curve. Create a visualization of a left-endpoint approximation for the area under the curve on the interval [-6, 3] using 9 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:
![The graph of a function is shown below as a blue curve. Create a visualization of a left-endpoint approximation for the area under the curve on the interval [-6, 3] using 9 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:](https://www.doubtrix.com/uploads/editor/5701703925zDyqXMtpOS.png)
![The graph of a function is shown below as a blue curve. Create a visualization of a left-endpoint approximation for the area under the curve on the interval [-4, 3] using 6 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:](https://www.doubtrix.com/uploads/editor/6637605843PfRMIHbeqC.jpg)
![The graph of a function is shown below as a blue curve. Create a visualization of a left-endpoint approximation for the area under the curve on the interval [1, 7] using 8 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:](https://www.doubtrix.com/uploads/editor/3140594434XRYSVBzqFn.jpg)
![The graph of a function is shown below as a blue curve. Create a visualization of a right-endpoint approximation for the area under the curve on the interval [-6, -2] using 6 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:](https://www.doubtrix.com/uploads/editor/1843022629PCpawYSMwd.png)
![The graph of a function is shown below as a blue curve. Create a visualization of a right-endpoint approximation for the area under the curve on the interval [-6, -2] using 6 rectangles. Slide the orange points horizontally to adjust the endpoints of the interval. Use the vertical slider on the right side of the graphing window (blue movable point) to control how many rectangles your approximation for the area will have. The value of each rectangle’s width, ∆x, is also shown. Finally, drag the black movable points to adjust the height of each of the rectangular boxes. Provide your answer below:](https://www.doubtrix.com/uploads/editor/7228691340ZxNoYJtpWe.png)