Question

For X near ), local linearization gives 1+x. Using a graph, decide if the approximation is an over or underestimate, and estimate to one decimal place the magnitude of the error for -0.9 <x<0.9. typu approximation is an underestimate the absolute tolerance is +/-0.1 Click if you would like to Show Work for this question: Qpen Show Work

Answer 1

solution: +x an goes under the Glven be Here it's always going to underestimate because for f(x)= e* the tangent line under the function and the Biggest error is to be at 2 = 0.9 Because that's where the cerve has gotten furthest away from the tangent line, get 1 +0.9 1.9 and the really be ei 2.45 we e ºog answers احب e 0.9 so the answer is, 2.45 -1.9 JI 0.55 → graph: -3 (0,2.45) f60) 20-9 - 2 -1 O 2 3