Mathematics

Mathematics

Problem

Consider the polynomial function f(x)=2x4−3x2+5f(x)=2x^{4}-3x^{2}+5. a. (i) Without performing any substitution, explain whether f(x)f(x) is even, odd, or neither on the basis of the powers of xx appearing in it. b. (ii) Verify your conclusion in part (i) by directly computing f(−x)f(-x) and comparing it with f(x)f(x). State the result clearly.

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