Match the following List – I with List – II LIST – ILIST – II (i) f (-X) = f (X) (a) Odd function (ii)…

The correct matching is (i) – (d), (ii) – (a), (iii) – (b) and (iv) – (c). A function satisfying $f(-X) = f(X)$ is symmetric about the vertical axis and is defined as an even function (d), whereas a function satisfying $f(-X) = -f(X)$ is symmetric about the origin and is defined as an odd function (a). An equation of the form $Y = X^5$, where a variable base is raised to a fixed real exponent, is a power function (b), while $Y = 5^X$, where a constant base is raised to a variable exponent, is an exponential function (c).