So far, all of the graphs discussed have had a line that either always goes up or always goes down (the technical term for this is
monotonic
). Other relationships are more complex, with lines than can go up and down (called non-monotonic).
How do you describe a graph up and down?
Line graphs usually describe trends or changes. With these, it is quite common to use different words to describe increases or decreases. … You can also describe the graph staying the same using the verb phrases ‘remain unchanged’ or ‘remain constant’. Small changes up and down are called ‘
fluctuations’
.
What is a graph that goes up and down called?
Also known as
a line chart
, it can tilt towards the positive y-axis (go up), approach the negative y-axis (go down) or as depending on. That is, a line graph can ascend, descend, or do both depending on the kind of data that is being evaluated.
How do you describe the trend of a graph?
A trend is
the general direction in which something is developing or changing over time
. A projection is a prediction of future change. Trends and projections are usually illustrated using line graphs in which the horizontal axis represents time.
What does a indirect graph look like?
The graph of an inversely proportional relationship displays a
vertical asymptote
at the y-axis as the y value increases without bound as x gets closer and closer to zero (but is positive) and decreases without bound as x gets closer and closer to zero (but is negative)and a horizontal asymptote at the x-axis as y gets …
Is a trail in a finite graph which visits each edge once and only once?
In graph theory,
an Eulerian trail (or Eulerian path)
is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices). Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex.
How do you describe a function on a graph?
Defining the Graph of a Function. The graph of a function f is
the set of all points in the plane of the form (x, f(x))
. We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
How can I describe a graph?
A line graph plots data in a single line over time. To describe the graph,
follow it’s progress along the horizontal access and describe whether it goes down, up, or stays the same
.
What does it mean when a graph levels off?
-ll- or US usually -l- If a rate or amount levels off,
it stops rising or falling and stays at the same level
: House prices now seem to be levelling off after the steep rises of the last few years.
How do you explain a graph and a chart?
While many people use ‘graph’ and ‘chart’ interchangeably, they are different visuals. Charts are tables, diagrams or pictures that organize large amounts of data clearly and concisely. People use charts
to interpret current data and make predictions
. Graphs, however, focus on raw data and show trends over time.
How do you describe a curve on a graph?
A curve is
common in rates of reaction graphs
. A straight line would indicate a constant rate of reaction, while a curve indicates a change in the rate (or speed) of a reaction over time. … Lines of best fit can also be extrapolated (extended).
What is a pattern in a graph?
When you describe patterns on graphs you are describing
how the dependent variable changes in relation to the independent variable
. Example 1. Time spent training.
What are 3 characteristics of direct variations?
1) The rate of change is constant ($$ k = 1/1 = 1), so the graph is linear. 2) The line passes through the origin (0, 0). 3) The equation of the direct variation is
$$ y =1 x
or simply $$ y = x .
How do you know if a graph is direct or indirect?
A
direct relationship is when one variable increases
, so does the other. An indirect relationship is when one variable increases, the other decreases. A cyclic relationship repeats itself over time. When the line on the graph always eventually comes back to the same place.
What does a direct proportion graph look like?
Two quantities that are in direct proportion will always produce a
straight-line graph that passes through the origin
. If the constant of proportionality is positive, the graph will have a positive gradient. If the constant is negative, the graph will have a negative gradient.
Can a Hamiltonian cycle repeat edges?
A Hamiltonian circuit ends up at the vertex from where it started. … Important: An Eulerian circuit traverses every edge in a graph exactly once, but
may repeat vertices
, while a Hamiltonian circuit visits each vertex in a graph exactly once but may repeat edges.
