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Unformatted text preview: nition confusing. However, what we should
have said was we’ll try not to make it too confusing, because no matter how we define it the
definition is always going to be a little confusing at first.
In order to clear up some of the confusion let’s look at some examples of equations that are
functions and equations that aren’t functions. Example 1 Determine which of the following equations are functions and which are not
(a) y = 5 x + 1 [Solution]
(b) y = x 2 + 1 [Solution]
(c) y 2 = x + 1 [Solution]
(d) x 2 + y 2 = 4 [Solution]
The definition of function is saying is that if we take all possible values of x and plug them into
the equation and solve for y we will get exactly one value for each value of x. At this stage of the
game it can be pretty difficult to actually show that an equation is a function so we’ll mostly talk
our way through it. On the other hand it’s often quite easy to show that an equation isn’t a
© 2007 Paul Dawkins 175 http://tutorial.math.lamar.edu/terms.aspx College Algebra (a...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12