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A function is a rule which maps a number to another unique number. In other words, if we start off with an input, and we apply the function, we get an output. For example, we might have a function that added 3 to any number. So if we apply this function to the number 2, we get the number 5.
Symbol and Cue Cards. Create a set of symbol cards and matching cue cards as shown on the following pages. Symbol cards: Cards containing math terms, expressions, equations, etc. Cue cards: Cards containing phrases that match one or more of the symbol cards.
Relations and functions define a mapping between two sets (Inputs and Outputs) such that they have ordered pairs of the form (Input, Output). Relation and function are very important concepts in algebra and calculus. They are used widely in mathematics as well as in real life.
Define, evaluate, and compare functions. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
For each of the examples below, determine whether the mapping makes sense within the context of the given situation, and then state whether or not the mapping represents a function. Express each of the following rules in function notation. (For example, “Subtract 3, then square” would be written as f ( x ) ( x 3 ) 2 .)
Here we will learn about function machines, including finding outputs, finding inputs and using function machines to solve equations. There are also function machine worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
• A mathematical phrase that can contain numbers, variables, and operation symbols. • The value in an expression can be changed, or “varied”. Ex: 3x 2x + 4 5a2 + 2a – 1 Function • A relationship that assigns exactly one output value to each input value • x’s don’t repeat
