Hey, just trying to understand the intuition of functions a bit better. f(x) = -5 if x = -2, f(x) = -3x^2 + 4 otherwise. The 4 is the y-intercept, and the -3x squared is the slope, right? Is the -3x squared because the parabola is symmetrical?

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You can get the slope by differentiating\[-3x^2 + 4\] to get the slope function as: \[-6x\]

Can you please rephrase your question?

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