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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith
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For more information, please see full course syllabus of Algebra 1
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Lecture Comments (3)

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Post by Edward Hook on February 28, 2013

I like your calm, methodical manner. It certainly beats being shouted at.

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Post by Andrew Peterson on April 25, 2011

HI!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!I am a big fan of your work and have learned so much as a student. Thank you for this chance to learn from your expertise!!!!

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Post by Mark Mccraney on December 10, 2009

In quick notes, "we write f(5)=3(5) + 2 + 17" should read = 17 ?


  • A function is a relation in which each element of the domain is paired with exactly one element of the range.

  • A relation is a function if and only if its graph passes the vertical line test: any vertical line passes through the graph at no more than one point.

  • If f is a function, we use function notation to describe f. For example, we could write f(x) = 3x + 2. The function f can be evaluated for specific values of x, such as 5. We write f(5) = 3(5) + 2 + 17. Thus, f(5) is an element of the range of f.

  • For the function f(x), x represents the independent variable and f(x) represents the dependent variable.


Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Definition 0:21
    • Function
    • Example: Relation
  • Vertical Line Test 1:48
    • Example: Pass
    • Example 2: Fail
    • Example 3: Fail
  • Function Notation 5:33
    • Proper Notation
    • Example
    • Domain and Range
  • Lecture Example 1 8:06
  • Lecture Example 2 9:39
  • Additional Example 3
  • Additional Example 4