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In this course, students will understand and apply concepts, graphs and applications of a variety of families of functions, including polynomial, exponential, logarithmic, logistic and trigonometric. An emphasis will be placed on use of appropriate functions to model real world situations and solve problems that arise from those situations. A focus is also on graphing functions by hand and understanding and identifying the parts of a graph. A scientific and/or graphics calculator is recommended for work on assignments, and on examinations.
Basic operations and transformations apply to all functions.
Any type of equation can be reduced to a simply linear equation.
There are many applications that can be solved by using linear and quadratic equations.
There are many similarities between equations and inequalities.
All common graphs can be transformed using the same basic transformations.
There are several types of functions.All functions have graphical and algebraic applications.
Functions can be used to solve real-life problems.
Polynomial functions can be solved using techniques similar to those of other types of equations.
There are numerous theorems that can be useful when solving polynomial equations.
The graphs of rational functions involve the use of vertical, horizontal and slant asymptotes.
There is a relationship between exponential and logarithmic equations.