Return to problems d x 2 y 2 4 with this case well

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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 functions. (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] 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 function. © 2007 Paul Dawkins 175 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.

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