This is a free lesson from our course in Algebra I
In this lesson you'll learn how to determine if a graph is a function or not. You'll also learn about the Vertical Line test, which is used to determine whether
a relation is a function or not. In this test, if you can draw a vertical line on
the graph of a relation such that it intersects the graph at more than one points, then the relation
is not a function, otherwise it is a function.E.g. Determine whether the relation represented in the graph is a function. Identify the domain and range, if it is a function.
(Continued from above) Solution:
a relation is a function if every input has exactly one output.
• in the plot, for each x-coordinate, there is only one y-coordinate.
• so, the relation is a function.
• the domain is 1, 2, 3, 5 and 6 and the range is 2, 3, 4, 6 and 7.
[The x-coordinates of the points are the domain and the y- coordinates are the range.]
Winpossible's online math courses and tutorials have gained rapidly popularity since
their launch in 2008. Over 100,000 students have benefited from Winpossible's courses...
these courses in conjunction with free unlimited homework help serve as a very effective
math-tutor for our students.
All of the Winpossible math tutorials have been designed by top-notch instructors
and offer a comprehensive and rigorous math review of that topic.
We guarantee that any student who studies with Winpossible, will get a firm grasp
of the associated problem-solving techniques. Each course has our instructors providing
step-by-step solutions to a wide variety of problems, completely demystifying the
Winpossible courses have been used by students for help with homework and by homeschoolers.
Several teachers use Winpossible courses at schools as a supplement for in-class
instruction. They also use our course structure to develop course worksheets.