Maths · Functions
Which of the following is true regarding the symmetry of the function: = \)
Which of the following is true regarding the symmetry of the function: \( f(x)= \) \( \boldsymbol{x}^{\boldsymbol{5}}+\boldsymbol{x}^{\boldsymbol{3}}+\boldsymbol{3} \)
- A. \( f(x)=c \)
- B. Symmetric about x-axis
- C. Its an odd function
- D. None of these
Step-by-step solution
The function f(x)=x^5+x^3+3 is neither even nor odd because f(-x) = -x^5 - x^3 + 3 is not equal to f(x) nor -f(x). It is not constant, and symmetry about the x-axis is not a property of functions. Therefore, none of the options A, B, or C are true.
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