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Koehne graph vocab
Vocabulary of Graphs
| Term | Definition |
|---|---|
| Domain | The set of all x-values for which the function is defined |
| Range | The set of all y-values for a given function |
| Horizontal Axis | x-axis |
| Vertical Axis | y-axis or f(x)-axis |
| Increasing | As x-values get larger, y-values get larger |
| Decreasing | As x-values get larger, y-values get smaller |
| Constant | As x-values get larger, y-values remain the same |
| Extrema | Absolute maximum, absolute minimum, relative maximum, relative minimum |
| Absolute Maximum | The largest y-value attained on the domain of a function |
| Absolute Minimum | The smallest y-value attained on the domain of a function |
| Relative Maximum | The largest y-value attained over an interval |
| Relative Minimum | The smallest y-value attained over an interval |
| Continuous | The graph of a function can be drawn without lifting your pencil |
| Concave Up | Where the graph of a function makes a smiley face |
| Concave Down | Where the graph of a function makes a frowny face |
| Point of Inflection | Where the graph of a function changes concavity |
| Discontinuity | Where the graph of a function has a hole, a jump in y-values at one point, or a vertical asymptote |
| Vertical Asymptote | A line where function values are approaching positive or negative infinity as x approaches some real number |
| Horizontal Asymptote | A line where function values are approaching some real number as x approaches positive or negative infinity |