MATH 100 Study Guide - Midterm Guide: Radian, Inverse Function, Tanx

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2. 1 rates of change and tangent lines to curves. 2. 2 limit of a function and limit laws. 3. 1 tangent lines and the derivative at a point. 3. 4 the derivative as a rate of change. A function is a relationship that assigns to each input value a single output value. A function f is a rule that assigns to each elements x in a set d exactly one element, called f(x), in set e. Is a fu(cid:374)(cid:272)tio(cid:374) of r, the (cid:374)u(cid:373)(cid:271)er of is (cid:272)alled the (cid:448)alue of at r. if r = 2, the = (cid:1008) . (cid:1008) is the value of a at r = 2. Given two functions f and g, the (cid:272)o(cid:373)posed fu(cid:374)(cid:272)tio(cid:374) f g is defi(cid:374)ed (cid:271)(cid:455): (cid:894)f g(cid:895) = f (cid:894)g (cid:894))). Domain: the domain of a function denoted by f is the set of points f is defined on.