I made this piecewise function for my assignment:

f(x)=((x6)(x7)(x4)(x5)(x6)x1xx<1)

I'm having trouble doing the 5 points listed below : a) lim 3 f(x) =

b) lim f(x) =

For b) you can use any number in x

c) Instantaneous rate of change at x = -4

d) / = 1

e) Sketch by hand only one branch of your piecewise function and draw its derivative function on the same grid.