Consider the function f(x) = x2-6x+20.

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Product: IFoA_CAA_M0
Update on: Oct 27, 2025
Questions: 64

IFoA IFoA_CAA_M0 Question Answer

Consider the function f(x) = x2-6x+20. This function has a stationary point at x = 3.

Determine the nature of this stationary point and how do we know this to be true.

It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.

It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.

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