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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 |