The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular xx value. The yy value of a point where a vertical line intersects a
The meaning of GRAPH is a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables. How to use graph in a sentence.
Figure 1 shows a graph that represents a polynomial function on the left and a graph that represents a function that is not a polynomial on the right. Figure 1 Example 1: Recognizing Polynomial Functions Which of the graphs in Figure 2 and Figure 3 represent a polynomial function? Figure 2...
A periodic function with amplitude 0.38 Another way to think of the amplitude of a graph is to find the middle of the graph and determine how high the graph goes above the midline at its maximum value. Since the amplitude represents the farthest distance away from the middle of a graph, ...
is defined for a graph G with vertex set V ( G ) as H f ( G ) = ∑ v ∈ V ( G ) f ( d ( v ) ) H_{f}(G)=\\sum _{v\\in V(G)}f(d(v)) where f ( x ) is a function defined on non-negative real numbers, and d G ( v i ) d_G(v_i) represents the de...
Besides showing the relationship between the input and output values, mapping diagrams can help determine what the domain (input) and range (output) of the relationship are, and whether or not the relationship represents a function. Domain and Range Mapping Diagrams The domain of a function is...
Colormap represents data density computed using a fast algorithm. The graph displays XPS spectra with different composition measured. Area under the peaks curve are filled to specific data plot (baseline). The graph can be easily created from an online template, XPS Area Scatter plot ...
Given a simple graph G, an L(2,1)-labelling (or λ-labelling) of G is a function c:V(G)→N such that |c(x)−c(y)|≥2, if x and y are neighbors and |c(x)−c(y)|≥1 if x and y have a common neighbor. The span of a labelling is the difference of the smallest ...
We saw above that giving an x coordinate and a y coordinate locates a point in the cartesian plane. But we can turn the logic around: we could say that a point in the cartesian plane represents the simultaneous values of two quantities x and y. This interpretation is very important in sc...
Finally, since the weight function is positive, we deduce that A is nondecreasing. This shows that NLM is as averaging operator in the sense of Definition 4. One can proceed similarly for NLD and NLE, and as a consequence, NLA is itself an averaging operator as a combination of averaging ...