Online College Courses for Credit

Understanding Functions

Understanding Functions

Author: c o

Present the idea of a function
Introduce function notation
Explain the relationship between y and f(x)

The lesson features a slide show presentation with cartoons. It explains the concept of mathematical functions and function notation using a vending machine analogy.

See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

37 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 33 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Understanding Functions: An InterDimensional Junk Food Adventure

Introduces the concept of a mathematical function and explains function notation.

Supplemental: Recognizing Functions Using The Vertical Line Test

If we have a graph of an equation in two variables, we can tell whether or not the graph depicts a function using  the vertical line test.  

Recall that if y is a function of x, then no two y values can correspond to a single x value.  Graphically, this means that no vertical line can intersect the graph at more than one point.  If a vertical line can be found that intersects the graph more than once, then the graph is not a function.  For example:


See Also

Source: Wikipedia