Question: Given f(x) = log(x). Fill in the table below. (2 pts.) X Optional space to show work f(x) 1 100 1000 Find the average rate

  1. Given f(x) = log(x).
  2. Fill in the table below.(2 pts.)

X

Optional space to show work

f(x)

1

100

1000

  1. Find the average rate of change of f(x) betweenx = 1 and x = 100.(2 pts.)

  1. Find the average rate of change of f(x) between x = 100and x = 1000.(2 pts.)

  1. What do we know about the concavity and directionof f(x)?Reference your answers from part b and cto justify your answers.(2 pts.)

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