PA.A.1.1
Recognize that a function is a relationship between an independent variable and a dependent variable in which the value of the independent variable determines the value of the dependent variable.
Example Problems
Kade is training for a race. He plans to run 5 kilometers each session.
He wrote this equation to find the total distance (x) he runs after how many sessions (m):
What is the dependent variable?
He wrote this equation to find the total distance (x) he runs after how many sessions (m):
What is the dependent variable?
Nina sells homemade candles for 8 dollars each.
She wrote this equation to find her total earnings () after selling how many candles ():
What is the independent variable?
She wrote this equation to find her total earnings () after selling how many candles ():
What is the independent variable?
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?
Khan Academy ResourcesEvaluate functionsEvaluate functions from their graphRecognize functions from tablesRecognize functions from graphsEquations vs. functionsRecognizing functions from tableTesting if a relationship is a functionRecognizing functions from graphObtaining a function from an equationWorked example: Evaluating functions from equationWhat is a function?Does a vertical line represent a function?Checking if a table represents a functionWorked example: Evaluating functions from graphChecking if an equation represents a functionRecognizing functions from verbal descriptionRecognizing functions from verbal description word problems

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