Find the area of the region under the graph of the function f on the given interval f(x)= -x^2+4 ; [-1,2] (Show your work for all parts) Graph the functionFind the x interceptsUse the Fundamental Theorem to Evaluate the AreaVerify your using your Graphing Calculator

(1) Graphing the given equation on the interval = [-1, 2] x y -1 3 -0.5 3.75 0 4 0.5…

Answered: Find the area of the region under the…

Math

Calculus

Find the area of the region under the graph of the function f on the given interval

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

Find the area of the region under the graph of the function f on the given interval

f(x)= -x^2+4 ; [-1,2]

(Show your work for all parts)

Graph the function
Find the x intercepts
Use the Fundamental Theorem to Evaluate the Area
Verify your using your Graphing Calculator

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