Flashcards
Functions and graphs
Cards in this deck (16)
- 1The arc of a curvePart or section of a curve between two points.
- 2AsymptoteA line towards which a curve approaches but never touches.
- 3Cartesian coordinatesNamed after Descartes. A system of locating points (x, y) on a number plane. Point (x, y) has Cartesian coordinates
x and y. - 4CurveAnother word for an arc. When a function consists of all values of x on an interval, the graph of y = f(x).
- 5Dependent variableA variable is a symbol that can represent any value in a set of values. A dependent variable is a variable whose value depends on the value chosen for the independent variable.
- 6Direct relationshipOccurs when one variable varies directly with another i.e. as one variable increases, so one variable decreases so do the other.
- 7DiscreteSeparate values of a variable rather than a continuum. The values are distinct and unrelated.
- 8DomainThe set of possible values of x in a given domain for which a function is defined.
- 9Even functionAn even function has a line symmetry (reflection) about the y-axis,
and f(-x) = -f(x). - 10FunctionFor each value of the independent variable x, there is exactly one value of y, the dependent variable. A vertical line test can be used to determine if a relationship is a function.
- 11Independent variableA variable is independent if it may be chosen freely within the domain of the function.
- 12Odd functionAn odd function has rotational symmetry about the origin (0,0)
and where f(-x) = -f(x). - 13Ordered pairA pair of variables, one independent and one dependent, that together make up a single point in the number plane, usually written in the form (x,y).
- 14OrdinatesThe vertical or y coordinates of a point are called ordinates.
- 15RangeThe set of real numbers that the dependent variable y can take over the domain (sometimes called the image of the function).
- 16Vertical line testA vertical line will only cut the graph of a function in at most one point. If the vertical line cuts the graph in more than one point, it is not a function.