[Algebra 2(Y)] 2.2: Linear Functions and Function Notation ADP Content Standards: P1.a: Determine key characteristics of quadratic functions and their graphs. CCSS for High School Mathematics: F.IF.1: Understand the concept of a function and use function notation Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). F.IF.2: Understand the concepts of a function and use function notation Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Objective: To identify, evaluate, and graph linear functions. Function Notation Function notation is a method of writing an equation that represents an output value in terms of an input value. Example 1: Using Function Notation For 2 1, what is the output for the inputs, 3, 0, and ? Input Output Example 2: Graphing a Linear Function Graph 2 1. Example 3: Writing and Evaluating a Function TICKET PRICE. Tickets to a concert are available online for $35 each plus a handling fee of $2.50. The total cost is a function of the number of tickets bought. a.) What function equation models the cost of the concert tickets? Evaluate the function for 4 tickets. b.) Graph the function.