Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:

y > 1/2x + 2

a)the origin is not included in the shaded region, and the shaded area is above the line.

b)the origin is not included in the shaded region, and the shaded area is below the line.

c)the origin is included in the shaded region, and the shaded area is above the line.

d)the origin is included in the shaded region, and the shaded area is below the line.

  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).

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step-by-step explanation: