L6: I can determine input tolerance (delta) given a function and output tolerance (epsilon). (x-4)² +2.5 x>2 Let f(x) = (x+1)²-1 x<2 (a) Use algebra and a graph and show your work to find the widest range of r values, around x = 2, that guarantee that f(x) will be within 0.5 of 3.5. Round to 6 decimals if needed. (b) What is the largest & that guarantees that f(r) will be within 0.5 of 3.5? Explain.
L6: I can determine input tolerance (delta) given a function and output tolerance (epsilon). (x-4)² +2.5 x>2 Let f(x) = (x+1)²-1 x<2 (a) Use algebra and a graph and show your work to find the widest range of r values, around x = 2, that guarantee that f(x) will be within 0.5 of 3.5. Round to 6 decimals if needed. (b) What is the largest & that guarantees that f(r) will be within 0.5 of 3.5? Explain.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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