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Suppose you have a function f, of a variable X.

You select a value for X, say x. Calculate the value of f(x) that is, the value of the function when X takes that value x. Then, instead of writing the result in a table, mark the point [x, f(x)] on the coordinate plane. Repeat with other values for X and join up the points.

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What are the three views of a function?

rule, table of values and graph


How can you tell if a graph is a continuous function or a discrete function?

The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.


How can you graph the inverse of a function without finding the ordered pairs first?

To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.


How can you graph a linear function without a calculator?

y=x+1


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.

Related Questions

What are the three views of a function?

rule, table of values and graph


How can you tell if a graph is a continuous function or a discrete function?

The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.


What is the definition qualitative graph?

a graph where a function is described without using specific values


How can you graph the inverse of a function without finding the ordered pairs first?

To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.


How are elements usually displayed in a line graph circle graph or a bar graph or a table graph?

Table Graph


How can you graph a linear function without a calculator?

y=x+1


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 the rules of continuity of a graph?

If you are looking at a graph and you want to know if a function is continuous, ask yourself this simple question: Can I trace the graph without lifting my pencil? If the answer is yes, then the function is continuous. That is, there should be no "jumps", "holes", or "asymptotes".


What are 4 ways to represent a function?

Input/output table, description in words, Equation, or some type of graph