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Find the rate of change from [1,-1] for f(x) = 3x^2 - 4x - 5.

a) 8
b) 6
c) -2
d) 2

User Cerveser
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1 Answer

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Final answer:

The rate of change of the function f(x) = 3x^2 - 4x - 5 at the point (1, -1) is D. 2.

Step-by-step explanation:

The rate of change of a function represents how much the function is changing for a given change in the independent variable.

In this case, we're looking for the rate of change of the function f(x) = 3x^2 - 4x - 5 at the point (1, -1).

To find the rate of change, we need to take the derivative of the function and evaluate it at the given point.

The derivative of f(x) = 3x^2 - 4x - 5 is f'(x) = 6x - 4.

Evaluate f'(x) at x = 1 to find the rate of change at that point:

f'(1) = 6(1) - 4 = 2.

Therefore, the rate of change at the point (1, -1) is D. 2.

User Kevan Stannard
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