Question Number 1: a) Sketch the graph of the function defined piecewise by the formula f(x) = {0,x <-1; v1– x .-1< x <1,x,x 2 1. b) A positive number _ and the limit L of a function fat a are given. Find a number ô such that |f(x) – L|< _ if 0< |x- al <ô. c) Find an equation for the tangent line to the curve y=2/x at the point (2, 1) on this curve. %3D x-9 lim x-3 x-3 = 6; € = 0.05

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.