Is the function 𝑓:𝑹 →R defined as f:(x) = (x — 7) (x^3 + 11)is an odd function.
"f(x) = (x - 7) (x^3 + 11)\n\\\\f(-x) = (-x-7)[(-x)^3+11)]\n\\\\=-(x+7)(-x^3+11)\n\\\\=-(x+7)(11-x^3)\\neq-f(x)"
For "f(x)" to be an odd function: "f(-x)=-f(x)"
But, there is no relation between "f(x)" and "f(-x)" here in this problem.
So, "f(x)" is not an odd function.
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