Uploaded byBitsy Griffin
Writing Function Rules
A function is a relation where no x-values repeat. Function notation uses f(x) to represent the input and output, where f(x) is equivalent to y. To write a function rule for a table, you first try adding, subtracting, multiplying or dividing the input value x. Then check if the rule works for each pair of x and y values in the table. The steps are to make an educated guess and then verify it is correct.
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Introduction to functions defined as relations with unique x-values, represented in various formats like graphs or equations.
Explanation of function notation, specifically the format y = 2x - 5 and its application with specific inputs and outputs.
Step-by-step methods for deriving function rules from given data in tables, including addition, subtraction, multiplication, and ensuring rules are consistent.
Practical examples of writing function rules based on provided inputs and outputs, demonstrating linear and non-linear relationships.
Summary and review questions addressing functional notation, input locations, and the process for creating function rules from tables.
Writing Function Rules
- 1.
- 2. What is afunction? A relation where no x’s repeat. Can be a graph, equation, table.
- 3. Function Notation y=2 x -5 f ( x )=2 x- 5 f of x f ( x ) is y
- 4. Function Notation y=2 x -5 for x = -2 f (-2)=2 x -5 Input = Output =
- 5. Rules from TablesUse guess and check. What do you have to do to the x to get the y?
- 6. Rules & Tables 1 st Try adding or subtracting something to/from the x.
- 7. Rules & Tables 2 nd Try multiplying /dividing something to the x.
- 8. Rules & Tables 3 rd Try a combination of +, -, x, / to the x .
- 9. Rules & Tables 4 th Make sure the rule works for each set of numbers.
- 10. Write a rule:f(x)=x+4 8 4 7 3 6 2 5 1 Y X
- 11. Write a rule:f(x)=x 2 81 9 36 6 9 3 0 0 Y X
- 12. Write a rule:f(x)=2x-1 19 10 13 7 7 4 1 1 Y X
- 13. Review What does function notation look like? What is equivalent to y ?
- 14. Review In function notation, where is the input located?
- 15. Review What are the steps for writing a function rule for a table?