Respuesta :

Answer:

The correct answer is option B. Tom's work is incorrect. He made a mistake in step 1.

Explanation:

We are given the function:

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

When he did the calculations for f(-x), he only replaced the x in the cubic term.

The correct step 1 is:

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

And now, we can see that:

[tex]f(-x)=-f(x)[/tex]

Thus, the function is ODD.

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