Activity #5 Please put all work on a separate piece of paper! Show all work in order to receive credit. 1. Evaluate the piecewise defined function at the indicated values, then sketch the graph of the function f(z ) = 1 2x -5 if2 > 1 f(0) = f (2) = 2. A hotel chain charges $75 each night for the first two nights and $50 for each additional night's stay. The total cost T' is a function of the number of nights x that a guest stays. a) Find a piecewise function that defines T(x). Show where the answer comes from! b) Find T(2), T(3), and T(5). c) What does T(5) represent? GRAPH for 3-6. if x > 0 3. y=- 3 ifx50 Also find: Domain, Range, f( - 2), f(0) and f(3) 4. y = Jatl ifx21 2x -1 ifx 0 if x = 0 Also find: Domain, Range, f ( - 2), f(0) and f(3) if 0 if x 50 Also find: Domain, Range, f( - 2), f(0) and f(3) Examples: Find the simplified difference quotient for each function. 7. f(x) = 23 -2x 8. g(x) = Vx-1 h(z) = 3x -5