Where is the function defined by f(x)= In (x) increasing? Where is f(x) decreasing? Where is the tangent line horizontal?Where is f(x) increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your selection.A. The function is increasing on the interval(s)(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)B. The function is never increasing.Where is f(x) decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your selection.A. The function is decreasing on the interval(s).(Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)B. The function is never decreasing.Where is the tangent line horizontal? Select the correct choice below and, if necessary, fill in the answer box to complete your selection.A. The tangent line of the function is horizontal at x =(Use a comma to separate answers as needed.)