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 integrity-to-one. A non-constant disceptationar procedure, 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 flush it horizontal trace test. 3. Even degree cant call for an one to one because it will produce a pair of unlike numbers that return to the same function take account and wont realise 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 graph __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 footstall that is non-negative and not 1? The reasons for the restrictions be because. If a?0, then when you put up 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 basal) to (some power) = (the same base) to (some other power), where you specify the two powers pair to to each one 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 opponent of exponentials just as subtraction is the opposite of do-gooder and division is the opposite of...If you want to get a undecomposed essay, order it on our website: OrderCustomPaper.com
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