SOLUTION: What are the x- and y- intercepts of {{{y=3(2-sqrt(x))/x}}}

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Question 206878: What are the x- and y- intercepts of
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
What are the x- and y- intercepts of 

To find the x-intercept, substitute 0 for y and solve for x:





Multiply through by x 



Divide both sides by 3





Square both sides:





So the x-intercept is (4,0)

---

To find the y-intercept, substitute 0 for x and solve for y:

Oh! oh! The denominator is  and it can never be ,
so the graph of this fuchtion cannot have a y-intercept.

Here is the graph:



As you can see it intercepts the x-axis at(4,0), marked with
a little circle.

Edwin
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