Let f(x) = -x-5x + 4x - 3. a) Give the interval for the followings. Round any decimal number to the two decimal place. f(x) is increasing on: and f(x) is decreasing on: f(x) is concave upward on: and f(x) is concave downward on: b) Determine whether or not f(x) has a local extrema. Write none if f(x) does not have a local min or max. f(x) has a local maximum at x = _ and f(x) has a local minimum at x = c) Does f(x) have an inflection point? If so, give the coordinates of the inflection point(s). Show work here (must include the sign chart for 1st and 2nd derivative):