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Find the rate of change over the interval [-3, -2] and the initial value of the function g(x) = -2x.

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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.

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