Evaluate. f(x) = x^3-4x

Faith Welch 2022-07-25 Answered
Evaluate. f ( x ) = x 3  4 x
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Answers (2)

nezivande0u
Answered 2022-07-26 Author has 16 answers
A function is said to be even if and only if
f(x)=f(-x)
a function is said to be odd if and only if
-f(x)=f(-x)
sp we got:
f ( x ) = x 3 4 x
lets work on f(-x) because is unavoidable
if a function is even, it can't be odd
f ( x ) = ( x ) 3 4 ( x ) = x 3 + 4 x
now lets work on the even function
f(x)=f(-x)
x 3 4 x = x 3 + 4 false, so this os not even function
checking for odd-function:
f ( x ) = ( x 3 4 x ) = x 3 + 4 x
x 3 + 4 x = x 3 + 4 x
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Greyson Landry
Answered 2022-07-27 Author has 5 answers
For this equation,
Evenmeans, that the graphed line is symmetric to the y-axis. Odd meansthat the graphed line is symmetric to the y-axis. To figure if afunction is even or odd, you change the variables. For thisequation, the line is, an odd function. This is because, if youchange the x's to -x's (even function) it is not the same equation.If, you change the x's to -x's and the y's to -y's (odd function)it is the same equation. Example: (even)
f ( x ) = x 3 4 x f ( x ) = ( x 3 ) ( 4 x ) (odd)
f ( x ) = x 3 4 x = f ( x ) = ( x 3 ) ( 4 x )
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