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Monday, February 3, 2014

Math Chap 5 Portfolio

Chapter 5 Portfolio Chapter 5 5.1 pg. 321For Discussion 1. Linear Functions that argon non-constant atomic number 18 will of all time be virtuoso-to-one. A non-constant disceptationar course, f (x) = mx + b, where m is the slope and b is the intercept. y = mx + b. So, (y - b) / m = x = f^(-1) (y). (There is an Inverse) , so the function is 1 to 1. 2. The odd-degree poly Sometimes be one to one. an odd degree function may withdraw an even function within it. EX: x^3 -2x^2 +x -1 = y Which in this case it is incomplete odd nor even. Also may peter out horizontal trace test. 3. Even degree cant realise an one to one because it will produce a pair of assorted numbers that return to the same function lever and wont expend the horizontal line test pg. 327#30, 31, 106 30. Range of f =_f^-1_.........Domain of f = __f^-1__. 31.Point (b,a) lies on the graphical record __f^-1__ because orient (a, b) reflects graph f and (b,a) graph __(f^-1)__. 106.Unknown 5.2 pg. 331Why do we curtail exponential function functions to a foundation that is non-negative and not 1? The reasons for the restrictions argon because. If a?0, then when you suffer it to a rational power, you may not get a real number. Ex: If a=-2, then (-2)0.5 = sqrt(-2) which isnt real. If a=1, the value of f(x) is 1. Which is not one-to-one. pg. 335What form essential we have the equation in to solve Type 1 exponential equations? You have to have (some purse) to (some power) = (the same base) to (some other power), where you specify the two powers pair to separately other, and solve the equation. For example: take in 101x = 104 . 1 x = 4 ..1 4 = x .3 = x pg. 337Is e a variable or a number? Explain. e is an number , approximately equal to 2.71828, that is the base of the natural logarithm. 5.3 pg. 342What is a logarithm and how does it relate to exponential equations? Logarithms are the opponen t of exponentials just as subtraction is the! opposite of gain and division is the opposite of...If you want to get a skilful essay, order it on our website: OrderCustomPaper.com

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