Graph a function x) that has all of the following properties, making certain to provide justications and descriptions for all conclusions. Hand- sketched or computer generated graphs are permitted. You are not required to provide the equation for the function. a V lim f(x) = negative infinity as x approaches 2 from the left b V lim f(x) = infinity as x approaches 2 from the right c) Iim f(x) = O as x approaches negative infinity d) 17-2) = 2 e) :75) = 1 f) 170) = 0 g) f'(x)>0ifx5 h) f'(x)0ifx2 I) f\"(x)