college algebra
posted by ladybug on .
y=3x/x^2 + 81
for the given equation, list the intercepts and test for symmetry.

You have posted many times, and by now you should know that you will NEED brackets for equations like this to establish the proper order of operation.
I am sure you meant to type:
y = 3x/(x^2 + 81)
when x = 0, y = 0/81 = 0, so the origin is both a y and x intercept
subbing in a positive x will yield a positive y
subbing in a negative x will yield a negative y
but the absolute value will be the same
also , notice that f(x) = f(x)
e.g. x = 1, then y = 3/82
if x = 1 , y = 3/81
so there is a reflection in the origin. 
The height h(t), in feet, of an airborne tee shirt t seconds after being launched can be approximated by h(t) =  15t^2+10, 0<t<. Find the times when the tee shirt will reach a fan 190 feet above ground level. The tee shirt will reach the fan at how many seconds?