For questions 1 and 2, consider the function f(x) = + x +1 on the interval [0, 4]. 4 12 f 10 8. 4 2 -2 -1 1 3 4 1) We approximate the area under the graph of y = left-hand endpoints. f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) List the gridpoints, xo, X1, X2, X3, X4, used in this approximation. Gridpoints: c) Illustrate this area approximation by sketching the corresponding rectangles in the graph above.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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1a. 1b. 1c.

For questions 1 and 2, consider the function f(x) = x² -
+x +1 on the interval [0, 4].
12
10
8
6.
4
-2
1
1
3
4
f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and
1) We approximate the area under the graph of y =
left-hand endpoints.
a)
What is the width, Ax, of each rectangle used in this approximation?
Ax =.
b)
List the gridpoints, xo, x1, X2, X3, X4, used in this approximation.
Gridpoints:
c)
Illustrate this area approximation by sketching the corresponding rectangles in the graph above.
Transcribed Image Text:For questions 1 and 2, consider the function f(x) = x² - +x +1 on the interval [0, 4]. 12 10 8 6. 4 -2 1 1 3 4 f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and 1) We approximate the area under the graph of y = left-hand endpoints. a) What is the width, Ax, of each rectangle used in this approximation? Ax =. b) List the gridpoints, xo, x1, X2, X3, X4, used in this approximation. Gridpoints: c) Illustrate this area approximation by sketching the corresponding rectangles in the graph above.
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