Question

(a) Fill in the table of values rounded to two decimal places for the function f(x) = e^x for x = 1, 1.5, 2, 2.5, and 3. Then use the table to answer parts (b) and (c). x 1 1.5 2 2.5 3 e^x (b) Find the average rate of change of f(x) between x = 1 and x = 3. Round your answer to two decimal places. The average rate of change of f(x) between x = 1 and x = 3 is . (c) Use average rates of change to approximate the instantaneous rate of change of f(x) at x = 2. Round your answer to one decimal place. The instantaneous rate of change is approximately .

          (a) Fill in the table of values rounded to two decimal places for the function f(x) = e^x for x = 1, 1.5, 2, 2.5, and 3. Then use the table to answer parts (b) and (c).

x 1 1.5 2 2.5 3
e^x

(b) Find the average rate of change of f(x) between x = 1 and x = 3.

Round your answer to two decimal places.

The average rate of change of f(x) between x = 1 and x = 3 is .

(c) Use average rates of change to approximate the instantaneous rate of change of f(x) at x = 2.

Round your answer to one decimal place.

The instantaneous rate of change is approximately .

(a) Fill in the table of values rounded to two decimal places for the function f(x) = e^x for x = 1, 1.5, 2, 2.5, and 3. Then use the table to answer parts (b) and (c).

x 1 1.5 2 2.5 3
e^x

(b) Find the average rate of change of f(x) between x = 1 and x = 3.

Round your answer to two decimal places.

The average rate of change of f(x) between x = 1 and x = 3 is .

(c) Use average rates of change to approximate the instantaneous rate of change of f(x) at x = 2.

Round your answer to one decimal place.

The instantaneous rate of change is approximately .

Added by Gabriel M.

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