Find the area of this polygon. Show your reasoning.

33 square units.

Step-by-step explanation:

The polygon can be divided into 3 triangles and 1 rectangle.

The total area of these shapes, and the area of the polygon, is 2(½ × 2 × 3) + (½ × 6 × 3) + (6 × 3) = 33 square units.

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step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).