Answered

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Determine if this function is even, odd or neither. Explain/Show work.
f(x) = 5x + x^3

Sagot :

cosmickid287

Answer:

Odd  

Step-by-step explanation:

To determine if a function is even or odd, substitute -x for every x in the function. Then, simplify. If you receive the same function as before, then the function is even. If you receive a function in which all the terms' signs have been switched, then it is odd. If the function does not qualify as either, then it is neither.

1) Substitute -x for every x in the given function and simplify as shown:

[tex]f(-x) = 5(-x)+(-x)^3\\f(-x) = -5x - x^3\\[/tex]

2) Look at the answer. All the signs in the original function have now been switched. The signs were originally positive, but now they are negative. Thus, this function is odd.

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