M.8.11
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
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 ResourcesWriting slope-intercept equationsIntro to slope-intercept formGraphing slope-intercept formIntercepts of lines review (x-intercepts and y-intercepts)Graphing lines from slope-intercept form reviewSlope-intercept form reviewSolutions to 2-variable equationsIntercepts from a graphEvaluate functionsSlope-intercept from two pointsEvaluate functions from their graphGraph from slope-intercept formLinear equations word problemsFunction rules from equationsSlope-intercept equation from graphComplete solutions to 2-variable equationsRecognize functions from tablesRecognize functions from graphsEquations vs. functionsSlope-intercept equation from graphManipulating formulas: temperatureRecognizing functions from tableTesting if a relationship is a functionGraph from slope-intercept equationSlope-intercept equation from slope & pointSlope-intercept equation from two pointsRecognizing functions from graphRelations and functionsWorked example: Evaluating functions from equationWhat is a function?Does a vertical line represent a function?x-intercept of a lineWorked example: solutions to 2-variable equationsCompleting solutions to 2-variable equationsIntro to slope-intercept formSolutions to 2-variable equationsIntro to interceptsChecking if a table represents a functionWorked example: Evaluating functions from graphChecking if an equation represents a functionRecognizing functions from verbal descriptionIntercepts from a tableRecognizing functions from verbal description word problems

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