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Exam II Review - Fall 2011

# Exam II Review - Fall 2011 - MA 180 Review for Exam II Fall...

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MA 180 Review for Exam II Fall 2011 2.5 – 4.1 1. Sketch the graph of on graph paper. Show your table of 4 – 6 points. Find the domain and range of . Find the intervals on which f is decreasing, increasing or constant. a. b. 2. Explain how the graph of the function compares to the graph of y = f ( x ). For example, for the equation y = 2 f ( x + 3), the graph of f is shifted 3 units to the left and stretched vertically by a factor of 2. a. y = f ( x 3 ) + 4 b. y = f (− x ) − 6 c. 3. The graph of a function f is shown, together with graphs of three other functions (a), (b), and (c). Use properties of symmetry, shifts, and reflecting to find equations for graphs (a), (b), and (c) in terms of f .

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4. Carefully sketch the graph of f . Show a table of points used. x y 5. For the function 6. Given f ( x ) = 9 x 2 + 36 x + 36 (a) Use the quadratic formula to find the zeros of f . (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) b) Find the maximum or minimum value of f ( x ). (c) Sketch the graph of f on graph paper. 7. Find the standard equation of the parabola shown in the figure.
8.

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Exam II Review - Fall 2011 - MA 180 Review for Exam II Fall...

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