What are the intercepts for the graphs of the equation y=(x^2-49)/(7x^4)y=x2−497x4?

1 Answer
Massimiliano
Feb 16, 2015

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 00, but it is impossible to give this value to xx because 00 makes the fraction a nonsense (it is impossible to divide for 00).

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 00.

So:

(x^2-49)/(7x^4)=0rArrx^2=49rArrx=+-7x2−497x4=0⇒x2=49⇒x=±7.

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

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