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

r(x) = ^{}

x^{2} − 16 |

x^{2} |

sally1 Jun 25, 2014

#1**+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

#3**+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)

jboy314 Jun 25, 2014

#5**+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

CPhill Jun 25, 2014