Tangent Line Approximation AP Calculus AB Tangent Line Approximation Discovery Let /(x) = 2x - 3x. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write L(x), the equation for the tangent line in slope-intercept form for x = 2. Sketch your equation on the graph.
Tangent Line Approximation AP Calculus AB Tangent Line Approximation Discovery Let /(x) = 2x - 3x. (a) Graph the function for x E [-1,5] %3D (b) Compute f (2) and f (2). (c) Write L(x), the equation for the tangent line in slope-intercept form for x = 2. Sketch your equation on the graph.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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![Tangent Line Approximation
AP Calculus AB
Tangent Line Approximation Discovery
Let /(x) = 2x - 3x2.
(a) Graph the function for x € [-1,5]
(b) Compute f (2) and f (2).
(c) Write L(x), the equation for the tangent line in
slope-intercept form for x = 2. Sketch your equation
on the graph.
(d) Evaluate L(2.01) using your equation from part (c)
(e) Evaluate f (2.01). Why is this value so similar to L(2.01)?
(f) is L(2.01) an overestimate or an underestimate of f(2.01)? Explain how you would be able to tell without
determining the value of f (2.01).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39b28d2b-f0c8-461b-8a4d-7c88d7541910%2Fadd207b3-994f-4b38-925e-78dd839da0ce%2Fk9z98wq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tangent Line Approximation
AP Calculus AB
Tangent Line Approximation Discovery
Let /(x) = 2x - 3x2.
(a) Graph the function for x € [-1,5]
(b) Compute f (2) and f (2).
(c) Write L(x), the equation for the tangent line in
slope-intercept form for x = 2. Sketch your equation
on the graph.
(d) Evaluate L(2.01) using your equation from part (c)
(e) Evaluate f (2.01). Why is this value so similar to L(2.01)?
(f) is L(2.01) an overestimate or an underestimate of f(2.01)? Explain how you would be able to tell without
determining the value of f (2.01).
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