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Law Of Tolerance And Quadratic Models
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The Law of Tolerance indicates that an organism’s performance declines when an abiotic factor deviates from its optimum range. If a species has an optimum temperature range between 15°C and 25°C, and temperature variation is modeled by a quadratic function $$T(x)=a*x^2+b*x+c$$, how does increasing the coefficient a affect the potential distribution of the species?

A

It steepens the curve, causing deviations from the optimum to become more pronounced, which may reduce the habitable range.

B

It has no significant effect on species distribution as a merely scales the function without affecting tolerance limits.

C

It shifts the optimum range upward without altering the steepness of the curve.

D

It flattens the curve, thereby increasing the range of tolerable temperatures.

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