This lesson introduces students to function notation. Students encounter situations in which referencing certain functions and their input-output pairs gets complicated, wordy, or unclear. This motivates a way to talk about functions that is more concise and precise.
Students learn that function notation is a succinct way to name a function and to specify its input and output. They interpret function notation in terms of the quantities in a situation and use function notation to represent simple statements about a function. The work in this lesson prompts students to reason quantitatively and abstractly (MP2) and communicate precisely (MP6).
- Interpret statements that use function notation and explain (orally and in writing) their meaning in terms of a situation.
- Understand that function notation is a succinct way to name a function and specify its input and output.
- Use function notation to express functions with specific inputs and outputs.
Let’s learn about a handy way to refer to and talk about a function.
- I can use function notation to express functions that have specific inputs and outputs.
- I understand what function notation is and why it exists.
- When given a statement written in function notation, I can explain what it means in terms of a situation.
Function notation is a way of writing the outputs of a function that you have given a name to. If the function is named \(f\) and \(x\) is an input, then \(f(x)\) denotes the corresponding output.
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