SOLUTION: determine whether the graph of the polynomial has y-axis symmetry, origin symmetry or neither f(x)=7-x^4

Algebra ->  Equations -> SOLUTION: determine whether the graph of the polynomial has y-axis symmetry, origin symmetry or neither f(x)=7-x^4      Log On


   

Question 147767: determine whether the graph of the polynomial has y-axis symmetry, origin symmetry or neither
f(x)=7-x^4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the graph of the polynomial has y-axis symmetry, origin symmetry or neither
f(x)=7-x^4
f(-x) = 7 - (-x)^4 = 7 - x^4
-f(-x) = -(7 - x^4) = -7 + x^4
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Since f(x) = f(-x) the function is symmetric to the y-axis.
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Cheers,
Stan H.