Math 170 Absolute Minimum and Absolute Maximum Use the closed interval method to find the absolute maximum and absolute minimum. 1. Find the absolute minimum and absolute maximum values of f(x)=x' -3x+1 on [0, 3]. . i : x 2. Find the absolute minimum and absolute maximum values of f(x)= on \" 41 [0, 2]. Math 170 Linear Approximation or Tangent Line Approximation In a small neighborhood of a point, the tangent line to the curve at that point, can provide approximations to the values of the curve. An approximation using the tangent line is called the lincar approximation or the tangent line approximation. Foracurve f(x). the linear approximation for points on the curve near {a.f{a]} is the lineanization of f at a: Lix) = f(a)+ f(a)(x - a). Use the linear approximation of f at @ to approximate the numbers /(.9 and +/0.99 using the function f(x)=4+1-x and a=0. Graph the function and the tangent line to the function at a =10. Identify the differentials dy and dx for each of the values