State the definition of a function. {{CMD_7}} Find the domain and range of a function. {{CMD_8}} Distinguish between functions by considering their domains. {{CMD_9}} Determine where a function is positive or negative. {{CMD_10}} Plot basic functions. {{CMD_11}} Perform basic operations and compositions on functions. {{CMD_12}} Work with piecewise defined functions. {{CMD_13}} Determine if a function is one-to-one. {{CMD_14}} Recognize different representations of the same function. {{CMD_15}} Define and work with inverse functions. {{CMD_16}} Plot inverses of basic functions. {{CMD_17}} Find inverse functions (algebraically and graphically). {{CMD_18}} Find the largest interval containing a given point where the function is invertible. {{CMD_19}} Determine the intervals on which a function has an inverse.