Final answer:
The rate of change is -2 and the initial value of the function is 0.
Step-by-step explanation:
The question asks to find the rate of change over the interval [-3, -2] and the initial value of the function g(x) = -2x.
To find the rate of change, we can use the formula for slope.
The slope of a linear function is equal to the coefficient of x. In this case, the coefficient of x is -2, so the rate of change is -2.
The initial value of the function g(x) = -2x is the y-intercept, which occurs when x = 0.
Plugging in x = 0 into the equation, we get g(0) = -2(0) = 0.
Therefore, the initial value of the function is 0.