Math-Zeina Marar

Math-Zeina Marar

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  • Yes! For example, y-x^2=0, to find out if this equation defines a function, we mus† solve for y.  So, we then bring the y instead of 0, so it would be y=x^2. Then what?
  • Do you know how to define functions? Do you know what it even means? Well, let us start with how the variables x and y relate.
  • Yes, that is right! But, let us try y-x^2=2, what do you do? Always know that y and x must be on different sides.
  • Then, we simply know that y, is the f(x), so f(x)=x^2, and because it has one value.
  • Now tell us, do you know what to do? Well, we know that we just add x^2 to both sides, canceling the negative one,  then, there you have it. This equation is defined as a function.
  • Wait, I understand this, but how can we solve something like x^2+y^2=4?
  • Well, you first start by subtracting x^2 from both sides, so it will become, y^2=4-x^2. Then-
  • So it would be y=+-√4-x^2. Which also means it has two values and doesn't define a function.
  • Oh yes! I know! You then remove the squared of y, and put a square root around 4-x^2, and then add = and -. 
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