MATH 123 Chapter Notes - Chapter 10: Logarithm, Asymptote, Coefficient

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 123
• Professor: Sidney Trudeau

Document Summary

By knowing the properties of a family of functions, we can apply that knowledge to any member of the family, giving us valuable information about its domain and behavior. This knowledge can help us to choose an appropriate function for an application. A function is a rule that assigns to each element from one set one element from another set. The domain of the function is the set of all possible values of the independent variable in a function, and the resulting set of possible values of the dependent variable is called the range. The vertical line test states that a graph represents a function if and only if every vertical line intersects the graph in no more than one point. The graph of the quadratic function (cid:4666)(cid:1876)(cid:4667)=(cid:1853)(cid:1876)(cid:2870)+(cid:1854)(cid:1876)+(cid:1855) is a parabola with its vertex at: ( (cid:1854)(cid:884)(cid:1853),( (cid:1854)(cid:884)(cid:1853))) The graph opens upwards if (cid:1853)>(cid:882) and downward if (cid:1853)