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Is the function b(x)=−2x2+6b(x) = -2x^2 + 6 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither

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Full solution

Q. Is the function b(x)=−2x2+6b(x) = -2x^2 + 6 even, odd, or neither?\newlineChoices:\newline(A)even\newline(B)odd\newline(C)neither
  1. Check Even Function: Check if b(x)b(x) is even by evaluating b(−x)b(-x) and comparing it to b(x)b(x).b(−x)=−2(−x)2+6b(-x) = -2(-x)^2 + 6
  2. Simplify Expression: Simplify the expression for b(−x)b(-x).b(−x)=−2x2+6b(-x) = -2x^2 + 6
  3. Compare Functions: Compare b(−x)b(-x) with b(x)b(x). Since b(−x)=b(x)b(-x) = b(x), the function b(x)b(x) is even.

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