This is Jennifer and I have a math problem that I can not get:

y=x/(x2+1) and I need to find the x and y intercepts. This is for my brother he is in the 12th grade taking calculus. If you could help me I would really appreciate it.

Thankyou very much. My brother and I are both students.


Hi Jennifer.

The y intercepts are all values of y where x=0. Put 0 in for x in your equation:
y = 0/(02+1) = 0.

The x intercepts are all values of x where y=0. Similarly, 0=x/(x2+1) reduces to x=0.

So this graph crosses both axes only at the origin.

Stephen La Rocque.>