Question 24: Given the function (y = {x^4} + 4{x^2} + 2). Which of the following statements is correct?

Question 24: Given the function \(y = {x^4} + 4{x^2} + 2\). Which of the following statements is correct?

A. The function has a minimum at x = 0

B. The function has a maximum and no minimum.

C. Functions have a maximum and a minimum.

D. The function has no extremes.

We have \(y’ = 4{x^3} + 8x \Rightarrow y’ = 0 \Leftrightarrow x = 0\)

Make a table of variables to deduce the function has its minimum at x = 0.

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