A1.16
Compare and contrast relations and functions represented by equations, graphs, or tables that show related values; determine whether a relation is a function. Explain that a function f is a special kind of relation defined by the equation y = f(x).
Example Problems
Does the following rule describe the relationship between the x- and y-coordinates in the table?
| x | y |
|---|---|
| 6 | 2 |
| 9 | 3 |
| 12 | 4 |
Does the following rule describe the relationship between the x- and y-coordinates in the table?
Add 3 to x to get y
Add 3 to x to get y
| x | y |
|---|---|
| 2 | 5 |
| 3 | 6 |
| 4 | 7 |
Does the following rule describe the relationship between the x- and y-coordinates in the table?
Divide x by 2 to get y
Divide x by 2 to get y
| x | y |
|---|---|
| 4 | 2 |
| 6 | 3 |
| 8 | 4 |
Khan Academy ResourcesLinear equations word problemsInterpret quadratic modelsFunction notation word problemsInterpret time in exponential modelsInterpret change in exponential models: changing unitsInterpret change in exponential models: with manipulationExponential vs. linear growth over timeInterpret change in exponential modelsInterpret exponential expressions word problemsWorked example: matching an input to a function's output (equation)Interpret quadratic models: Factored formWhat is the range of a function?Interpreting change in exponential modelsInterpreting change in exponential models: changing unitsWorked example: two inputs with the same output (graph)Worked example: evaluating expressions with function notationWorked example: matching an input to a function's output (graph)Interpreting time in exponential modelsInterpreting change in exponential models: with manipulationComparing maximum points of quadratic functionsWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsWorked example: domain & range of piecewise linear functionsInterpret quadratic models: Vertex formWhat is the domain of a function?Worked example: domain & range of step function
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