Function notation homework

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In the previous lesson, you learned how to identify a function by analyzing the domain and range and using the vertical line test. The typical notation for a function is f x. This is read as "f of x" This does NOT mean f times x. This is a special notation used only for functions. However, f x is not the only variable used in function notation. You can use any letters, but they must be in the same format - a variable followed by another variable in parentheses.
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Function Notation & Evaluating at Numbers

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Function Notation: Definitions & Evaluating at a Number | Purplemath

Problems 1 and 3 and problems 2 and 4 describe the same relationship, but for each pair one Trader is represented as an equation with x and y while the second of the pair is represented in function notation. Students evaluate the profit for each of the four traders and answer a series of questions. I have students examine the four relationships as a way to identify what is the same and what is different among the four. During this peer conversation, I will listen in and encourage students to justify their thinking in order to expose students to Math Practice 3 MP3.
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Function Notation

Think back to when you were in elementary school. Function Notation. Why did your teachers switch from boxes to variables? Well, think about it: How many shapes would you have to use for formulas like the one for the area A of a trapezoid with upper base a , lower base b , and height h?
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The natural world is full of relationships between quantities that change. From this we get the notion of a functional relationship in which the output can be determined from the input. For some quantities, like height and age, there are certainly relationships between these quantities. Given a specific person and any age, it is easy enough to determine their height, but if we tried to reverse that relationship and determine age from a given height, that would be problematic, since most people maintain the same height for many years. In the height and age example above, is height a function of age?
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