4 Solved Problems in Quiz 1 on Analytical Geometry and Calculus I | MATH 251, Quizzes of Analytical Geometry and Calculus

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Math 251 Quiz 1 Name__ey 7 1. Match the function with its type by drawing a line between the function and its type. BP — HP +7 algebraic function * rational function 2x* 5 ' ; ; x9 _ 9x47 olynomial function exponential function 1-¥x 2. Let f(xy=vx4t+l, g(x) = a (a) Find g(x)(f (x)? — 1) and state its domain using interval notation. 2 4+ = > = + (Teny— 1) = &Cw-od = 3 = | Fae xe e140) x4 2 Daman = L-4,4 95) => nE-\ (b) Find (g 0 £)(x) and state its domain using interval notation. « ten) a 4 Cao SMe) = 46 yele an PANDO aes KYAT Dot Goes = C-4, + wh 3. State the transformations to the graph of f(x) given by -2f(x + 1) +4. Gert oe 2 wt REFLECTED ABET K-AKIS. Sm VERT. BY A FRCML oF ZL. Smereo (EFT Vener, smieren 02 ons, 4. Suppose the graph of y = f(x) = Ca* passes through the points (2, 0.75) and (—1, 6). Find a formula for f(x). Hint: Substitute the given coordinate pairs in for x and y and solve the resulting system of two equations in “a” and “C”. G= ca! & ca -3 - && = aN : ons ect TP aw ce HS BFR > Op Slee 6 C(Py = C-2ce—- [c23] February 6, 2009