The correct answer is option D which is the function is even because of its symmetry about the y-axis.
<h3>What is even function?</h3>The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.
Given function:-
f(x) = 3x⁴+2x²
Now put the value x = -x in the function
f(-x) = 3( -x⁴)+2(-x²)
f(-x) = 3x⁴ + 2x²
f(-x) = f(x)
here we can see that when we put the value of negative x the function remains unchanged.
Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.
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