Table of Contents
What is a graph of connected lines and curves?
continuous graph. a graph made up of connected lines or curves. correlation. a measure of the strength and direction of the relationship between two variables or data sets.
What is a graph made up of connected points?
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called links or lines).
What graph is made of only distinct points?
Discrete graph
Discrete graph Some graphs are only distinct points. They are called discrete graphs.
What is the set of ordered pairs?
relation
A relation is any set of ordered pairs. The set of all first components of the ordered pairs is called the domain. The set of all second components is called the range. Relations can be represented by tables, sets, equations of two variables, or graphs.
What do points on a graph represent?
A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates. A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.
Should you connect the dots on a graph?
If you are trying to determine the slope of a line between the two points, then connecting them to show a line makes sense. If you have 3 points on a graph and you are interested in the area created by connecting the three points, then it makes sense to connect them.
Is made up of connected lines or curves?
Algebra Chapter 3 Vocabulary
| A | B |
|---|---|
| discrete graph | a graph made up of unconnected points |
| continuous graph | a graph made up of connected lines or curves |
| relation | a set of ordered pairs |
| function | a type of relation that pairs each element in the domain with exactly one element in the range |
What is a linear graph?
Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.
What is the best way to identify an ordered pair?
To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
When to use a curved line in a graph?
When a curved line is used, it is typically expressed as either a second order (cubic) or third order (quadratic) curve. Higher order curves may follow the actual data points more closely, but rarely provide a better mathematical description of the relationship.
When to use a bar graph or a line graph?
You would use a line graph when you want to be able to more clearly see the rate of change (slope) between individual data points. If the independent variable was nominal, you would almost certainly use a bar graph instead of a line graph.
How to create a line graph with XY scatter?
When using (XY) Scatter, choose the Connected with Line sub-type. It is simpler to create a line graph with (XY) Scatter when your independent and dependent variables are in columns. The color and size of the line and markers can be set by double-clicking on the line in the graph.
Can a line graph be used to map two independent variables?
Two (or More) Independent Variables and One Dependent Variable Line graphs provide an excellent way to map independent and dependent variables that are both quantitative.