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# Download 2.2: Linear Functions and Function Notation

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```[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. ```
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