Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.

Question

F(x)= (7/(x-3))

increasing=

decreasing=

Answer 1

F(x) = 7/(x-3)

F'(x) = -7/(x-3)^2

F is never increasing

F is decreasing when x>3 or x<3

F is decreasing in the intervals (-infinity, 3) and (3, +infinity)

there is a discontinuity at x= 3 where F(x) is undefined. x=3 is a vertical asymptote. y=0 is the horizontal asymptote

the graph is two branches of a rectangular hyperbola, separated by the vertical line x= 3