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MATH 1111 - College Algebra: 2.4 Graph of Functions

2.4 Graph of Functions

At the end of this section students will be able to:

  • Test the graph of a function for symmetry
  • Determine if a function is even, odd or neither
  • Find the x-intercepts and the y-intercept of the graph of a function
  • Determine the intervals where a function is increasing, decreasing or constant
  • Sketch the graph of a piecewise-defined function
  • Use transformations techniques to graph a function

Required Reading

1.6 Graphs of Functions

Stitz-Zeager College Algebra - pages 93-106

 

1.7 Transformations

Stitz-Zeager College Algebra - pages 120-137

Practice Exercises

Graphs of Functions

Stitz-Zeager College Algebra - pages 107-110

Answers to practice exercises can be found on pages 114-118.

Transformations

Stitz-Zeager College Algebra - pages 140-143

Answers to practice exercises can be found on pages 144-149.

Supplemental Resources

Graphs of Functions, Part 1 (tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 31)

Graphs of Functions, Part 2 (tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 32)

 

Test a Graph for Symmetry:

 

Determining if a Function is Even, Odd or Neither:

 

Graphing Piecewise-defined Functions:

 

Horizontal and Vertical Graph Translations: 

 

Horizontal and Vertical Stretches and Compressions: