7. [Geogebra Question] Let's use Geogebra to find the area of the region enclosed by the graphs of the following two functions p(x) = x² – 6x – 3, r(x) = -2x2 + 5x + 7 (a) Define the given functions p(x) and r(x). Graphs of the functions are shown automatically on the plot area. Adjust the plot area so that the region enclosed by the two graphs is clearly visible. This plot should be included in your submission. (b) Find the values of x where the graphs of p(x) and r(x) intersect. Equation f(x) = 0 can be solved in Geogebra using the command Solve(f(x)=0,x) (c) Find the area of the region enclosed by the two graphs. Definite integral f(x)dx can be computed in Geogebra using the command Integral (f(x),x,a,b)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 11T: A triangle is formed by the coordinate axes and a line through the point (2,1), as shown in the...
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7. [Geogebra Question] Let's use Geogebra to find the area of the region enclosed by
the graphs of the following two functions
p(x) = x² – 6x – 3,
r(x) = -2x2 + 5x + 7
(a) Define the given functions p(x) and r(x). Graphs of the functions are shown
automatically on the plot area. Adjust the plot area so that the region enclosed by
the two graphs is clearly visible. This plot should be included in your submission.
(b) Find the values of x where the graphs of p(x) and r(x) intersect. Equation
f (x) = 0 can be solved in Geogebra using the command Solve(f(x)=0,x)
egral ſ. f(x)dx
(c) Find the area of the region enclosed by the two graphs. Definite
can be computed in Geogebra using the command Integral (f(x),x,a,b)
(d) Save a screenshot of your calculations in (a)-(c) and submit it for your assign-
ment.
Transcribed Image Text:7. [Geogebra Question] Let's use Geogebra to find the area of the region enclosed by the graphs of the following two functions p(x) = x² – 6x – 3, r(x) = -2x2 + 5x + 7 (a) Define the given functions p(x) and r(x). Graphs of the functions are shown automatically on the plot area. Adjust the plot area so that the region enclosed by the two graphs is clearly visible. This plot should be included in your submission. (b) Find the values of x where the graphs of p(x) and r(x) intersect. Equation f (x) = 0 can be solved in Geogebra using the command Solve(f(x)=0,x) egral ſ. f(x)dx (c) Find the area of the region enclosed by the two graphs. Definite can be computed in Geogebra using the command Integral (f(x),x,a,b) (d) Save a screenshot of your calculations in (a)-(c) and submit it for your assign- ment.
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