Question

What are the intercepts for the graphs of the equation `y=(x^2-49)/(7x^4)`?

Answer 1

If the question is: "in which point does the function intercept the y-axis?", the answer is: in no points. This is because, if this point would exist, its x-coordinate has to be `0`, but it is impossible to give this value to `x` because `0` makes the fraction a nonsense (it is impossible to divide for `0`).

If the question is: "in which points does the function intercept the x-axis?", the answer is: in all those point whose y-coordinate is `0`.

So:

`(x^2-49)/(7x^4)=0rArrx^2=49rArrx=+-7`.

The points are: `(-7,0)and(7,0)`.