c. No f ( x ) ≠ f ( -x )
d. Yes ( - x ) = - f ( x )
What is function notation?
Function notation is way of writing functions so that they can easily be understood in the mathematical sense. This method is applied in the question to help read the meaning in the question without much explanations.
Given data
f ( x ) = x^3
f ( -x ) = - x^3
How to solve the function notations
c. No f ( x ) ≠ f ( -x )
f ( x ) = x^3 and f ( -x ) = - x^3
f ( x ) is not equal to f ( -x )
plugging the values for the left hand side of the equation gives
x^3
and plugging the values for the right hand side of the equation gives
- x^3
since the left hand side of the equation is not equal to the right hand side of the equation it means that the both sides of the equation are not equal hence equation sated in c is not correct
f ( x ) ≠ f ( -x ) ( take note of the sign )
d. Yes ( - x ) = - f ( x )
( - x ) is equal to - f ( x )
This represents odd functions where the negative sign persists at the left hand side and the right hand side of the equation. Odd function do appear for functions which have negative signs and have odd exponents too.
Read more about odd functions here: https://brainly.com/question/2284364
#SPJ1
