3. [12 points] In the following problem, the function f(x) defined for x1 is given by...

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3. [12 points] In the following problem, the function f(x) defined for x1 is given by the graph below: 1 -1 -2 a. [3 points] Evaluate 1 2 3 5 6 7 6f(x) dx. b. [3 points] Evaluate L* (F(x) - 2) dx. c. [3 points] Choose a value of b that would make the definite integral L d. [3 points] Compute the average value of f(x) from x = 2 to x = 6. f(x) dx negative. 3. [12 points] In the following problem, the function f(x) defined for x1 is given by the graph below: 1 -1 -2 a. [3 points] Evaluate 1 2 3 5 6 7 6f(x) dx. b. [3 points] Evaluate L* (F(x) - 2) dx. c. [3 points] Choose a value of b that would make the definite integral L d. [3 points] Compute the average value of f(x) from x = 2 to x = 6. f(x) dx negative.