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## Final Exam Review

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**Final Exam Review**Calculus Honors ~ May 2010**Construction of Exam**• 10 True-False • 7 Multiple Choice • 11 Open Response (I take the best 10) • 1 sheet of 8.5 x 11in. notes is allowed (you do not need your table of integral values for this test) • Graphing Calculator allowed during the whole test**Topics to Consider**• when is a graph continuous • graphing with relative extrema, increasing/decreasing, concavity • acceleration, velocity, position • know your trig derivatives • Chain Rule!! • Integrals – bounded and unbounded • Do you know how to use your calculator to find the area under the curve? • profit, revenue, cost • equation of a line tangent to a graph at a point • find absolute max/min values over the real line or intervals • taking the 1st derivative, 2ndder, 3rd der. • limits • using your graphing calculator to find integral • Finding - look at your old test for notes with this. • initial value problems • How do basic graphs shift? • simplified difference quotient formula and how to use it • area under the curve**Sketch the function showing the following:a. Interceptsb.**Asymptotesc. Undefined values and critical pointsd. Increasing or decreasing extremae. Inflection pointsf. Concavityg. Sketch**Profit, Revenue and Cost**Show profit function. How many units must be produced to maximize profit? What is the maximum profit?**Tangent Lines**• Find the equation of a line tangent to the graph at the point (1,4).**Absolute Max/Min Problem**• Find the absolute max/min value over the indicated interval or the real number line.**Limits**Find the following limits if they exist: