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Unformatted text preview: es (forbidden x‐values). Be sure to find limit from left and right Horizontal Asymptotes: lim
x 8. f ( x), lim f ( x) x x, y – intercepts: x‐int: set f (x)=0. Solve for x. y‐int: plug in 0 for x 5. Mean Value Theorem: If f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there is a number c between a and b such that: f '(c) f (b) f (a )
ba alternately: f (b) f (a ) f '(c)(b a ) This means that there is a point c between a and b where the tangent line at c is parallel to (has the same slope as) the secant line between a and b. MSLC – Math 1151 Exam 3 Review 6. Optimization: These are word problems where you are asked to find the best solution (ie. The closest point, the biggest area…). You solve these problems by finding the absolute maximum or minimum value of some function, usually on a closed interval. You have to figure out this function (called the optimization equation) and the interval from geometry of the problem. This equation must be in one variable before...
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This note was uploaded on 02/24/2014 for the course MATH 1151 taught by Professor Daniel during the Fall '12 term at Ohio State.
- Fall '12