Section+1.3

1.3 The Twelve Basic FunctionsObjectiveBe able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions, and combine the twelve basic functions in various Title: Jul 78: 49 PM (1 of 18)

The Twelve Basic Functions

Be able to recognize graphs of twelve basic functions, determine domains of functions related to the twelve basic functions, and combine the twelve basic functions in various ways to create new functions
 * Objective**


 * Terms used to describe functions.**

the set of values from which the input values, xvalues, are taken every point in the domain of the function has a value the function's graph lies entirely between two horizontal lines (A graph can be bounded above or below or completely bounded.) the function's graph is symmetric about the y-axis. the function's graph is symmetric about the origin the function's graph is headed upward as it moves from left to right the function's graph is headed downward as it moves from left to right For more definitions, go to the precalculus link and click on "definitions".
 * domain:**
 * continuous:**
 * bounded:**
 * Symmetry:**
 * odd:**
 * increasing:**
 * decreasing:**


 * The Twelve Basic Functions**

Description: · domain all real numbers · range all real numbers · continuous · unbounded · odd · increasing
 * The Identity Function**


 * The Squaring Function**

Description:

· domain all real numbers · range all real numbers greater than or equal to zero · continuous throughout its domain · bounded below by the xaxis · even · decreasing on, increasing on

Description:
 * The Cubing Function**

· domain all real numbers · range all real numbers · continuous throughout its domain · unbounded · odd · increasing

Description:
 * The Reciprocal Function**

· domain all real numbers except zero · range all real numbers except zero · continuous throughout its domain · unbounded · odd · decreasing
 * The Square Root Function**

Description: · domain all real numbers greater than or equal to zero · range all real numbers greater than or equal to zero · continuous throughout its domain · bounded below by the xaxis


 * The Exponential Function**

Description: domain all real numbers range all real number greater than or equal to zero continuous bounded below by the xaxis increasing

Function
 * The AbsoluteValue**

Description:

· domain all real numbers · range all real number greater than or equal to zero · continuous · bounded below by the xaxis · even · decreasing for negative x's and increasing for positive x's