Given the function below f(x) = V162x" + 567 Find the equation of the tangent line to the graph of the function at a = 1. Answer in mæ + b form. L(x) Use the tangent line to approximate f(1.1). L(1.1) = Compute the actual value of f(1.1). what is the error between the function value and the linear approximation? Answer as a positive value only. Terror| (Approximate to at least 5 decimal places.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Given the function below
f(x) = V162x + 567
Find the equation of the tangent line to the graph of the function at r =
L(x) =
1. Answer in mx + b form.
Use the tangent line to approximate f(1.1).
L(1.1)
Compute the actual value of f(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
|error| 2
(Approximate to at least 5 decimal places.)
Transcribed Image Text:Given the function below f(x) = V162x + 567 Find the equation of the tangent line to the graph of the function at r = L(x) = 1. Answer in mx + b form. Use the tangent line to approximate f(1.1). L(1.1) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. |error| 2 (Approximate to at least 5 decimal places.)
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