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Math 1320 exam 1a from september 17, 2008. The exam covers various topics, including identifying the direction of a parabola, finding the vertex, x-intercepts, y-intercept, slope of a line, interpreting the slope of a regression line, graphing a function, finding the linear demand function, revenue function, and maximum revenue. Students are required to show all work for partial credit.
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Math 1320 Name: D. Wilson
Wednesday, September 17, 2008 Show all work for partial credit. Good luck!
Please note: All work must be shown for this problem. No credit will be given if only a graphing calculator is used to obtain the answers.
(b) (6 points) Find the vertex of the parabola.
(c) (6 points) Find the x-intercept(s), if they exist.
(d) (4 points) Find the y-intercept.
(b) (8 points) Find the revenue function. Include the units. Recall that revenue is price x quantity.
(c) (10 points) Find the maximum revenue. Include the units.
(b) (6 points) Find and simplify the expression f (x + h).
(c) (8 points) Find and simplify the expression f^ (x^ +^ h h)^ −^ f^ (x).
(d) (6 points) Let f (x) = 4x^2 − 6 x + 11 and g(x) = 6x^3. Find and simplify f (g(x)).