Question 526684: Determine whether the function is even, odd, or neither.
f(x) = x^2 cos 7x
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Determine whether the function is even, odd, or neither.
f(x) = x^2 cos 7x
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function is even if f(-x)=f(x)
function is odd if f(-x)=-f(x)
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f(-x) = x^2 cos 7x=(-x)^2 cos(-7x)=x^2 cos 7x=f(x)
function is even.
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note: When you change an angle from positive to negative, the sign of the cos of the angle does not change, for example, when you change from 27º to -27º the reference angle is moved from quadrant I to quadrant IV where the cos does not change. It changes for the sin function, however.
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