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    • [DOC File]AP Calculus Assignments: Derivative Techniques

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      7. a. Sketch a graph of a continuous function f having f ' > 0 for all x. b. Does the function you sketched in part (a) have an inverse function? HDYK? c. Hypothesize a general rule about the derivative of a continuous function f and the invertibilty of f. d. Use calculus to prove that the function f(x) = x3 + 4x – 5 has an inverse function. e.

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    • [DOC File]Lecture Set 3 - Functions

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      The function name is calc_rectangle_area. The function formal-argument-type-list consists of an int type named height in the first position and an int type named width in the second position which means that the function expects 2 input arguments with the first of type int and the second of type int.

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    • [DOC File]1982 AP Calculus AB

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      2. Given that f is the function defined by (a) Find the (b) Find the zeros of f. (c) Write an equation for each vertical and each horizontal asymptote to the graph of f. (d) Describe the symmetry of the graph of f. (e) Using the information found in parts a, b, c and d, sketch of graph of f. (a) (b) , so f(x) = 0 when the numerator . is zero, so

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    • [DOC File]PreCalculus Chapter 1 Functions and Their Graphs

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      1.3 Graphs of Equations Graph a function from a calculator, then find the domain and range algebraically and graphically. Use the Vertical Line Test to determine whether y is a function of x. Determine intervals on which a function is increasing, decreasing, or constant from a graph.

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    • [DOC File]AP Calculus Free-Response Questions

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      function f has a local minimum at x = -1, and the graph of f has a point of inflection at x = -2. a. Find the values of a and b. b. If , what is the value of k? 210. The function f is differentiable for all real numbers. The point (3, ) is on the graph of y = f(x), and the . slope at each point (x,y) on the graph is …

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    • [DOC File]AP Calculus AB

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      10. Find the Average Value of the function: on [0, 2]. 11. Find the area of the region bounded by. 12. Write the formula for the each of the following area approximations, and then find the approximation to 3 decimal places. Use n = 4. Sketch a graph of the function and the rectangles for part "A" only. ; on [3, 5].

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