Final answer:
To find the average rate of change of function g over the interval (-4, 3), the values of g(3) and g(-4) are needed. Without these, we cannot compute the average rate of change, which is the function's change in value per unit interval between the two endpoints. option C is correct answer.
Step-by-step explanation:
The student has asked to calculate the average rate of change of a function g over the interval (-4, 3). The formula given for the average rate of change is g(3) - g(-4) divided by 3 - (-4). Without specific values for g(3) and g(-4), we cannot calculate a numerical value. However, the question's structure suggests a conceptual understanding rather than actual computation, hence one would need the function's values at the given points to find the correct value for the average rate of change.
Since actual function values are not provided, we are unable to determine whether the correct value is (a) -1/3, (b) -1/7, (c) 1/7, or (d) 1/3. The average rate of change is a measurement of how much the function's value changes per unit interval on average between the two points in question.