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Starting from the end the function is an algebraic expression showing the relationship between variables in an equation. The simplest general form being that of two variables with a linear relationship usually shown in the form Y=mx +c where y and x are variables and m and c are constants.
The graph, although existing in other forms, is usually shown using Cartesian co-ordinates with a vertical y axis and a horizontal x axis. The above function would appear as a straight line cutting the y axis at value c and with a gradient value m.
If m and c had positive values then the line would slope from left to right cutting through the y axis at c and the x axis at -c/m.
The table is generally the way of setting out results to show accurate information - usually the results of an experiment or investigation. It is often difficult to visualise or calculate relationships from a table, whereas the graph will illustrate it, and with simple linear relationships the function can be derived by noting the axis intersections.
Eg. A straight line cutting through the x axis at -2/3 and the y axis at 2would be expressed as y=3x+2.
What else can I help you with?
What are 4 ways to represent a function?
Input/output table, description in words, Equation, or some type of graph
Which table of values will generate this graph?
Depends what the graph is.
What are some characteristics of the graph of an exponential function?
An exponential function is a nonlinear function in the form y=ab^x, where a isn't equal to zero. In a table, consecutive output values have a common ratio. a is the y-intercept of the exponential function and b is the rate of growth/decay.
How can a table be more informative than the graph with the same data?
A graph can be more useful for making presentations because it is more visual, and it can be easier to recognize a pattern in a graph for the same reason. However, a graph doesn't have any more data than a table with the same data.
How do you graph a function in trigonometry?
y = sin x, or y = cos x etc. can be graphed by making a table of values. The x column in the table would be angle measurements (usually in degrees or radians) and the y column would be the trig. function value. Then plot the points and sketch the curve going thru those points. Ex: for y = sin x x , y 0 0 30 0.5 45 0.707 etc and then graph these
What are the three views of a function?
rule, table of values and graph
What is the difference between a data table and a graph?
A data table is a list of statistics - a graph is a physical representation of the data.
How can you compare a linear function represented in a table to one represented as a graph?
To compare a linear function in a table to one represented as a graph, you can examine key characteristics such as the slope and y-intercept. In the table, the slope can be determined by calculating the change in y-values divided by the change in x-values between two points. On the graph, the slope is visually represented by the steepness of the line, while the y-intercept is the point where the line crosses the y-axis. Both representations should reflect the same linear relationship if they describe the same function.
How are elements usually displayed in a line graph circle graph or a bar graph or a table graph?
Table Graph
What are similarities between a data table and a graph?
both collects data
You can use a table or graph to do what to your findings?
You can use a table or a graph to organize you findings.
Explain how you can use a table of values and equation and a graph to determine whether a function represents a proportional relationship?
To determine if a function represents a proportional relationship, you can use a table of values to check if the ratio of the output (y) to the input (x) remains constant. If the ratios are consistent, the relationship is proportional. Additionally, graphing the function will help you visualize the relationship; if the graph is a straight line that passes through the origin (0,0), then the function is proportional. If either the table or graph does not meet these criteria, the relationship is not proportional.
How can you determine that a set of ordered pairs are a graph table diagram equation a function or mere relation?
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
Is data a table or graph?
Data is neither a table nor a graph, however, data may be presented in a table or depicted by a graph.
What are 4 ways to represent a function?
Input/output table, description in words, Equation, or some type of graph
Does this table represent a linear function How can you tell?
To determine if a table represents a linear function, check if the differences between consecutive y-values are constant when the x-values increase by a consistent amount. If the change in y is the same for every equal change in x, the function is linear. Additionally, the graph of the function would form a straight line. If either condition is not met, then it does not represent a linear function.
What is the connection between groundwater and water table?
both the water table and the groundwater is at the top of the aquifer
