College Algebra Sample

Sample Chapter (first two LO's)

Function and Function Notations

Learning Objectives:

  • Distinguish between functions and relations
  • Evaluate functions at given values
  • Solve for inputs of functions from given outputs
  • Find values of functions graphically
  • Apply the vertical line test
  • Determine if functions are one-to-one graphically or algebraically
  • Evaluate functions at variable inputs
  • Use technology to graph given functions or relations
  • Solve applications involving functions
  • Identify and graph constant functions f(x)=bf left parenthesis x right parenthesis equals b
  • Identify and graph the identity function f(x)=xf left parenthesis x right parenthesis equals x
  • Identify and graph the absolute value function f(x)=|x|f left parenthesis x right parenthesis equals open vertical bar x close vertical bar
  • Identify and graph the square function f(x)=x2f left parenthesis x right parenthesis equals x squared
  • Identify and graph the cube function f(x)=x3f left parenthesis x right parenthesis equals x cubed
  • Identify and graph the reciprocal function f(x)=1xf left parenthesis x right parenthesis equals 1 over x
  • Identify and graph the square root function f(x)=√xf left parenthesis x right parenthesis equals square root of x
  • Identify and graph the cube root function f(x)=3√x


For users of OpenStax College Algebra by Jay Abramson, Lead Author:

This covers Section 3.1 and read pages 160-179.

Distinguish between relations and functions

Lecture Video: Distinguish between relations and functions


Example Video: Distinguish between relations and functions

Evaluate functions at given values

Lecture Video: Evaluate functions at given values

Example Video: Evaluate functions at different values