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Chapter 2 review

TermDefinition
Absolute value function f(x)=|mx+b|+c is a absolute value equation in two variables...
dependent variable a variable (often denoted by y ) whose value depends on that of another.
direct variation The equation y/x = 6 states that y "varies directly as" x since the ratio of y to x (also written y:x) never changes. The number 6 in the equation y/x = 6 is called the constant of variation.
Domain The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Function Often, the equation relates the value of a function (or functions) at some point with its values at other points.
Function notation The f (x) notation can be thought of as another way of representing the y-value in a function, especially when graphing. The y-axis is even labeled as the f (x) axis, when graphing.
Independent variable a variable (often denoted by x ) whose variation does not depend on that of another.
linear equation an equation between two variables that gives a straight line when plotted on a graph.
linear function a polynomial function of degree zero or one, or is the zero polynomial. In linear algebra and functional analysis, a linear function is a linear map.
linear inequality linear inequality contains one of the symbols of inequality: < is less than. > is greater than. ≤ is less than or equal to
mapping diagram A function is a special type of relation in which each element of the domain is paired with exactly one element in the range. A mapping shows how the elements are paired. Its like a flow chart for a function, showing the input and output values
parent diagram is the simplest function of a family of functions.
point slope form The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line
range The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6.
Reflection A transformation in which a geometric figure is reflected across a line, creating a mirror image.
relation between two sets is a collection of ordered pairs containing one object from each set
scatter plot A graph of plotted points that show the relationship between two sets of data. In this example, each dot represents one person's weight versus their height.
Shrink multiplies all y values by the same factor greater than 1.
Slope is often denoted by the letter m. The direction of a line is either increasing, decreasing, horizontal or vertical.
slope intercept form the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept
standard form is a way of writing down very large or very small numbers easily.
stretch multiples all y values .
transformation Change
translation shifts shifts a graph horizontally vertically or both
trend line a line that approximates the relationship between data
vertex each angular point of a polygon, polyhedron, or other figure.
vertex line test s a visual way to determine if a curve is a graph of a function or not
x intercept is a point on the graph where y is zero
y intercept f this line is the value of y at the point where the line crosses the y axis.
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