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Need more help with my practice!According to the graph, is f even, odd or neither?

Need more help with my practice!According to the graph, is f even, odd or neither-example-1
User Jsantander
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To determine if a function is odd or even, it is even when f(x) = f(-x), it is odd if f(x) = -f(-x)

Looking at x = 2, and x = -2

If x = 2, then f(x) = 4

If x = -2, then f(x) = -4

This does not satisfy for even.

If x =2, then f(x) = 4

Substitute -x,

-f(-x) = -f(-2) = -(-4) = 4

This satisfies for odd.

Hence the function is odd.

User Peter Fox
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