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 (negative 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.
(options)

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).
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 \(-1\) to \(0\) is \(-4\textsf{.}\)
The average rate of change for \(g(x)\) over the interval \(-1\) to \(0\) is \(-3\textsf{.}\)
The average rate of change for \(f(x)\) over the interval \(2\) to \(3\) is faster than the average rate of change for \(g(x)\textsf{.}\)