SOLUTION: Determine algebraically whether the function is even, odd or neither.
a) f(x)= X2(x squared) - 2
b) f(x) = 3x4 + 2x2 - 7
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Question 70856This question is from textbook
: Determine algebraically whether the function is even, odd or neither.
a) f(x)= X2(x squared) - 2
b) f(x) = 3x4 + 2x2 - 7
This question is from textbook
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Both are even since they have symmetry across the y axis. Also f(x)=f(-x) is applicable to both of these equations which means they are even. For instance if I plug in x=2 into a) I get
Now let x=-2
Which proves f(x)=f(-x) and shows it is an even equation. The same applies to the 2nd one also.
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