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Question
Difficulty Level:

Medium

MCQ

April was asked to determine whether f(x)=x31{f}({x})=x^{3}-1 is even, odd, or neither.
Here is her work:

Step 1: Find expression for f(x){f ( - x )}

f(x)=(x)31f(-x) =(-x)^{3}-1

=x31 =-x^{3}-1

Step 2: Check if f(x){f ( - x )} or f(x)-{f}({x})

Also x31-x^{3}-1 is the same as f(x)=x31-{f}({x})=-x^{3}-1

Step 3: Conclusion

f(x)f(-x) is equivalent to f(x)-f(x), so ff is odd.

Is April’s work correct? If not, what is the first step where April made a mistake?

Select all that apply :

April’s work is incorrect. She made the first mistake in step 2

April’s work is incorrect. She made the first mistake in step 1

April’s work is incorrect. She made the first mistake in step 3

April’s work is correct.

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