1. Let f be the piecewise defined function consisting of three linear segments shown in the figure above. The function g is defined by g (x) = * -8X +3 x+5 (A) (i) The function h is defined by h(x) = (g - f ) (x) =g(f (x)). Find the value of /(-3) as a decimal approximation, or indicate that it is not defined. (ii) Find the value of for which (-4), or indicate that it is not defined. (B) (i) Find all zeros of g (x), as decimal approximations, or indicate that there are no such values. (ii) Determine the end behavior of g as x decreases without bound. Express your answer using the mathematical notation of a limit. (C) (i) Determine if an inverse function of / can be constructed for all values in the domain of J. (if) Give a reason for your answer based on the definition of a function and the graph of f