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# Koehne graph vocab

### Vocabulary of Graphs

TermDefinition
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
Created by: Mrs Koehne