SOLUTION: 4. If h(x) = x^3 - x, what is the relationship between h(-3) and -h(-3)?

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Question 56039This question is from textbook Applied College Algebra
: 4. If h(x) = x^3 - x, what is the relationship between h(-3) and -h(-3)? This question is from textbook Applied College Algebra

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
4. If h(x) = x^3 - x, what is the relationship between h(-3) and -h(-3)?
h(x) is an odd function ...since
H(A)= A^3-A....AND
H(-A) = (-A)^3-(-A)= -A^3+A= -(A^3-A)= -H(A)
HENCE
H(3) = 3^3 - 3 =27-3 =24
H(-3) = (-3)^3-(-3)= -27+3 = -24
SO....H(3) = -H(-3)