Find any intercepts of the graph of the given equation Do no

Find any intercepts of the graph of the given equation. Do not graph. (If an answer does not exist, enter ONE.) y = x^2 - 5/x^3 x-intercept (x, y) = () (smaller x value) x-intercept (x, y) = () (larger x value) y-intercept (x, y) = Determine whether the graph of the equation possesses symmetry with respect to the x-axis, y-axis, or origin. x-axis y-axis origin none of these

Solution

f(x)= (x²-5)/x³

To find the x intercept we have to plug f(x)=0

0=(x²-5)/x³

x²-5=0

x= sqrt5 , - sqrt5

To find the y intercept we have to plug x=0

f(x)= (0-5)/0

So here we dont have y intercept