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1968
5
avatar+253 

Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)

r(x) = 
x2 − 16
x2
 
 Jun 25, 2014

Best Answer 

 #1
avatar+576 
+10

x intercepts are where the y value is zero.  Therefore to find the x intercept we let y=0

x^2-16=0

x^2=16

x=4 or -4

 

 

To find y intercept we need to recognize that it occurs where x=0 so we set x to 0

y=0^2 +16

y=16

 Jun 25, 2014
 #1
avatar+576 
+10
Best Answer

x intercepts are where the y value is zero.  Therefore to find the x intercept we let y=0

x^2-16=0

x^2=16

x=4 or -4

 

 

To find y intercept we need to recognize that it occurs where x=0 so we set x to 0

y=0^2 +16

y=16

jboy314 Jun 25, 2014
 #2
avatar+253 
0

Wouldn't it be coordinates?

 Jun 25, 2014
 #3
avatar+576 
+5

You could certainly express it in coordinates.    For the x intercept we let y =0.  Therefore, since we found x=4 of -4 the coordinates are  (4,0) or (-4,0)

 

similarly for y  intercept (and i just realized I mistyped my first response, it should be -16) we have coordinates (0,-16)

 Jun 25, 2014
 #4
avatar+253 
0

thank you so much.

 Jun 25, 2014
 #5
avatar+124676 
+5

When I see the term "rational function" I think of something like this .... r(x) = f(x) / g(x)

Do you mean this???..........

r(x) = (x^2 -16) / x^2

If so, the x intercepts that jboy314 gave are correct.......there are no y intercepts because the function does not exist when x = 0......here's the graph

 

 

 Jun 25, 2014

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