Addition input/output tables - sums to 20

Learning Objectives Identify the constant additive rule in an input/output table where sums are 20 or less. Express the relationship between input and output values as a linear function in the form f(x) = x + c. Determine missing input or output values by applying the identified function rule. Define and identify the domain and range for a given set of data in an input/output table. Translate a verbal description of an additive relationship into a completed input/output table. Verify the consistency of a rule across all pairs of data in a table to confirm it represents a function. If a simple robot always adds 5 to any number you give it, how can you write a single rule to predict its answer every time? 🤖 This tutorial connects basic arithmetic to the powerful concept of f...

TermDefinitionExample Input/Output TableA table that organizes data into pairs, showing the result (output) of applying a consistent rule to a starting value (input).A table with an 'Input (x)' column showing {2, 3, 4} and an 'Output (y)' column showing {7, 8, 9}. FunctionA mathematical rule that assigns exactly one output value for each unique input value. Input/output tables represent functions.The rule 'add 5 to the input' is a function because for any input, like 10, there is only one possible output, 15. Rule of a FunctionThe specific operation performed on the input to get the output. In this lesson, the rule is always addition of a constant.For the input/output pair (8, 11), the rule is 'add 3', which can be written as y = x + 3. Input (Indep...

The Additive Function Rule y = x + c This formula describes the relationship where the output (y) is found by adding a constant value (c) to the input (x). Finding the Constant (c) c = y - x To find the constant in the rule, subtract any input value (x) from its corresponding output value (y). This must be true for all pairs in the table for the rule to be consistent. Function Notation f(x) = x + c This is a formal way to write the rule. f(x) represents the output for a given input x. f(x) is read as 'f of x' and is another name for y.