Consider the graph of the piecewise function f(r) shown below: -3-2 4 y 2 1 Write the rule for the function. Consider the graph of a basic function f(x)= |z]. The graph of the function g(x) is created by vertically shifting the graph of f(x) upward by 3 units. Write the function g(z) that describes the graph. Let f(x) = 2x+5. The function f(x) is one-to-one. (a) Find the inverse of f. (b) State the domain and range of f. (c) State the domain and range of f(x). Let f(x)=x - 2. (a) Write an equation for the inverse function f-(r). (b) State the domain and range of f(x). (c) State the domain and range of f-(x).