Math Chap 5 Portfolio

Chapter 5 Portfolio Chapter 5 5.1 pg. 321For Discussion 1. Linear Functions that argon non-constant be will of all time be wizard-to-one. A non-constant disceptationar theatrical role, 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 come apart horizontal trace test. 3. Even degree cant get down an one to one because it will produce a pair of incompatible numbers that return to the same function judge and wont range 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 chart __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 stand that is non-negative and not 1? The reasons for the restrictions argon because. If a?0, then when you conspire 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 ascendant) to (some power) = (the same base) to (some other power), where you specify the two powers pair to to eac h one other, and solve the equation. For exa! mple: 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 opponent of exponentials just as subtraction is the opposite of sum and division is the opposite of...If you want to get a in force(p) essay, order it on our website: OrderCustomPaper.com

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