Do Now: Exercise I: Consider the function rule: multiply the input by two and then subtract one to get the (a) Fill in dhe table below for inputs and outputs. Inputs are often designated by x and outputs by y. (c) Graph the function rule on the raph paper shown below. Use your table in (a) to help. Input Calculation Output 3. (b) Weite an equation that gives this rule in symbolic form. THE DEFINITION OF A FUNCTION A function is a clearly defined rule that converts an input into exactly one output. These rules often come in the form of: (1) equations, (2) graphs, (3) tables, and (4) verbal descriptions. Group: Exercise #2: In the function rule from #1, what input would be needed to produce an output of 17? Why is it harder to find an input when you have an output than finding an output when you have an input? Self: Exercise #3: A function rule takes an input, n, and converts it into an output, y, by increasing one half of the input by 10. Determine the output for this rule when the input is 50 and then write an equation for the rule.