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Compare the two functions, f(x)=−4x+12 and g(x)=(14)x+8, in the following graph.
F of x is a linear function that passes through points (0, 12) & (3,0). G of x is an exponential function that passes through (-2, 24), (0, 9), & (1, 8.25).

Which statements about the functions are true?

There is more than one correct answer. Select all correct answers.

The average rate of change for g(x) over the interval −3 to −2 is −12.
The average rate of change for f(x) over the interval 2 to 3 is faster than the average rate of change for g(x).
The average rate of change for f(x) over the interval −1 to 0 is −4.
The average rate of change for g(x) over the interval −1 to 0 is −3.
The average rate of change for g(x) is constant.
The average rate of change for g(x) over the interval −2 to −1 is faster than the average rate of change for f(x).