FAC.F.13
Compare and contrast a function and a relation. Use appropriate strategies to assess whether a given situation represents a function or a relation (e.g,. the vertical line test).
Example Problems
A hotel recorded the number of rooms cleaned and the number of guest complaints.
Can complaints be represented as a function of rooms cleaned?
| Rooms Cleaned | Complaints |
|---|---|
| 20 | 2 |
| 30 | 3 |
| 20 | 2 |
| 40 | 4 |
| 30 | 3 |
| 40 | 5 |
Can complaints be represented as a function of rooms cleaned?
A delivery service logged the number of packages delivered and the number of delivery delays.
Can delays be represented as a function of packages delivered?
| Packages | Delays |
|---|---|
| 100 | 5 |
| 150 | 8 |
| 100 | 5 |
| 200 | 12 |
| 150 | 8 |
| 200 | 12 |
Can delays be represented as a function of packages delivered?
A bakery compared the number of cakes baked and the number of cakes sold.
Can cakes sold be represented as a function of cakes baked?
| Cakes Baked | Cakes Sold |
|---|---|
| 25 | 20 |
| 30 | 28 |
| 25 | 20 |
| 35 | 32 |
| 30 | 28 |
| 35 | 33 |
Can cakes sold be represented as a function of cakes baked?
Khan Academy ResourcesEvaluate function expressionsEvaluate functions from their graphFunction rules from equationsFunction inputs & outputs: graphIdentifying values in the domainFunction inputs & outputs: equationRecognize functions from tablesRecognize functions from graphsEquations vs. functionsRecognizing functions from tableRecognizing functions from graphObtaining a function from an equationWorked example: matching an input to a function's output (equation)What is the range of a function?What is a function?Worked example: two inputs with the same output (graph)Worked example: evaluating expressions with function notationDoes a vertical line represent a function?Evaluating discrete functionsWorked example: matching an input to a function's output (graph)Determining whether values are in domain of functionWorked example: domain & range of piecewise linear functionsWhat is the domain of a function?Worked example: Evaluating functions from graphWorked example: domain & range of step functionRecognizing functions from verbal descriptionRecognizing functions from verbal description word problems

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