Math 131 In Class Exam 1 Review 1 Find the domain of each function f x x 1 a e b ln x 2 4 x 2 c ln x 2 4 d ln x 2 ln x 2 e 3 x 2 25 2 A copier company charges 25 cents per page for the first 100 pages plus 20 cents per page for the remaining pages Write the charge as a piecewise function of the number of pages x 3 f x is a transformation of y x 2 The vertex is at 3 10 and f 2 15 Without using an x distortion write the formula for f x 4 Find the formula for the function a f x A B ln x C b f x A Be Cx c lim f x f e 4 3 f e 2 4 0 x 4 lim f x 2 x f 0 0 f 1 1 f x is the transform ation of g x x 3 x 4 under the following transform ations in the given 2 reflect across the x axis 3 stretch ve rtically by a factor of 5 and 4 shift down 6 units 5 Find functions f and g so that a f g x e 2 x 5e x 1 b f g x ln x 2 3 6 A culture starts with 200 cells and increases by 50 every 3 hours a Find N t the number of cells after t hours b Write N t in base e 7 The table shows the price of a U S postage stamp in cents for different years year 1919 1932 year 1919 0 price 2 1958 1963 1968 1974 1978 1985 1991 2009 13 39 44 49 55 59 66 72 90 3 4 5 6 10 15 22 29 42 Let x be the number of years past 1919 Find quartic regression and exponential regression models Which is a better fit to the given data Which looks better for future data 8 Find the inverse function to a f x 5e 3 x b g x ln 2 x 5 9 Solve for x a x e 4 ln 2 b 4 x 1 c log 2 x 3 2 1 5 log 2 x 4 5 3 10 Evaluate each limit or write DNE if it does not exist f x 2 x 2 4 x 6 x2 1 a lim f x b lim f x x 1 c lim f x x 1 x 3 12 Evaluate each limit as a number as plus infinity minus infinity or write DNE a lim x 0 d lim x f lim x 1 e x b 4 x 5 15 x 2 2 2x 5 1 e x lim x 0 c lim x e lim x 2 15 x x 4 x 5 15 x 2 2x2 5 x 2 2 x x 1 3 x 2 13 Find the discontinuities of each function and give the reason for each discontinuity graphically and from the definition of continuity sin 2 x a f x x e 4 e x cos x f x x ln x x 4 4 x x 0 0 x b g x 2x2 4x 6 x2 1 c
View Full Document
Unlocking...