F(x)=3/2x find the intervals over which the funtion is increasing decreasing or constant

intervals-function

#1

f(x)=3/2x
find the intervals over which the funtion is increasing decreasing or constant

Answer:

I assume you mean f(x)=3/(2x)
f’(x)=(3/2)(-1(x)^-2)
0=(-3/2)(x^-2)
x=0
when x=0 function constant when x is greater then 0 function decreasing when x is less then 0 function is increasing