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

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 #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)#.

Related questions
See all questions in Zeros
Impact of this question
5814 views around the world
You can reuse this answer
Creative Commons License