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Consider the two functions 2x+1, for x < 0 1 f(x) = and g(x) = (x - 1). 1-x², for x ≥ 0 2 a) Sketch both of the curves y = f(x) and y = g(x) on the same set of axes. Identify in your sketch all points where these curves intersect each other. b) Calculate the area of the region enclosed by both of the curves.

Consider the two functions 2x+1, for x < 0 1 f(x) = and g(x) = (x - 1). 1-x², for x ≥ 0 2 a) Sketch both of the curves y = f(x) and y = g(x) on the same set of axes. Identify in your sketch all points where these curves intersect each other. b) Calculate the area of the region enclosed by both of the curves.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 37E
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Consider the two functions 2x+1, for x < 0 f(x) = and g(x) (x - 1). 1-x², for x ≥ 0 a) Sketch both of the curves y = f(x) and y = g(x) on the same set of axes. Identify in your sketch all points where these curves intersect each other. b) Calculate the area of the region enclosed by both of the curves. 1
Transcribed Image Text:Consider the two functions 2x+1, for x < 0 f(x) = and g(x) (x - 1). 1-x², for x ≥ 0 a) Sketch both of the curves y = f(x) and y = g(x) on the same set of axes. Identify in your sketch all points where these curves intersect each other. b) Calculate the area of the region enclosed by both of the curves. 1
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