Kris was asked to determine whether f(x) = 2:3 – X is even, odd, or neither. Here is his work: Step 1: Find expression for f(-2)
f(-x) = (-x)3 - (-x)
= (-1)3 23 + 2
=-x3 + x
Step 2: Check if f(-2) is equal to f(x) or -f(x)
--203 + x is the same as -f(x) = -23 + x.
Step 3: Conclusion
f(-2) is equivalent to -f(x), so f is odd.
Is Kris' work correct? If not, what is the first step where Kris made a mistake?