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MATH 100 Study Guide - Final Guide: Floor And Ceiling Functions, Liquid Oxygen, Bernoulli Polynomials

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turquoisegnu128

1 Oct 2018

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Simon Fraser University

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2 (b) find all solutions of the equation f (x) = 1. Solution : we need to nd all real numbers x with the property that f (x) = (cid:100)x(cid:101) = 1. In other words, we are looking for all real numbers such that the number 1 is the smallest integer that is greater than or equal to x. This gives the set {x : 0 < x 1} = (0, 1]. (c) sketch a graph of the function f . Figure 1: graph of the function f (x) = (cid:100)x(cid:101) Final exam: [6] given the graph of f sketch the graph of the func- tion g(x) = 2 1. Solution : (a) i(x) = f (x 2) (b) j(x) = 1. 2 i(x) (c) k(x) = j(x) (d) g(x) = 2 + k(x: [6] (a) let f (x) = 1 x + 1 and g(x) = ln x: find g f .

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