The correct answer is option D which is the function is even because of its symmetry about the y-axis.
What is even function?
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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