MATH268 Study Guide - Final Guide: Odd Graph, Intermediate Value Theorem, Discriminant

• School: University of Delaware
• Department: Mathematics
• Course: MATH268
• Professor: Dawn Berk

Document Summary

As x approaches a value c, the limit is the y value. If indeterminate form is achieved (0/0), do an algebraic manipulation such as factoring, or multiplying by the conjugate. For limits approaching infinity, the limit of 1/x as x approaches infinity is 0. If the numerator has a higher power, the limit will be +/- infinity, and if all insignificant terms cancel, the limit is that ratio. For an equation/graph to be a function, it must be one to one: every y value is assigned to no more than 1 x value (no 2 inputs correspond to the same output). To find inverses of functions, switch x and y and solve. If you get one possible answer, the function has an inverse. Equation of the line: y=mx+b where m is the slope (rate of change, y2-y1/x2-x1) Vertex formula: y=a(x-h)^2+k where the vertex is (h,k) If it is positive, there are 2 x-intercepts.