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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.


Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?

To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.


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 are the three views of a function?

rule, table of values and graph


Does every ordered pair in a table of values can come from a different function?

No

Related Questions

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.


Consider the equation below. Complete the table of values for the equation. Then determine whether the equation represents a function. x y -26 -1 9?

To determine if the equation represents a function, we need to see if each input ( x ) has a unique output ( y ). In the provided table, there are three values for ( x ): -26, -1, and 9. If each ( x ) corresponds to a single ( y ), then the equation represents a function. However, without knowing the specific relationship or equation that relates ( x ) and ( y ), we can't definitively complete the table or confirm the nature of the relationship.


How can you tell whether a table of values represents a quadratic function?

Unless the operands form an arithmetic sequence, it is not at all simple. That means the difference between successive points must be the same. If that is the case and the SECOND difference in the results is constant then you have a quadratic.


What is the domain of a function shown by a table?

The domain of a function represented by a table consists of all the input values (usually the x-values) listed in the table. These values indicate the specific points at which the function is defined. To determine the domain, simply identify and list the unique x-values from the table. If any values are missing or not represented, they are excluded from the domain.


What is the definition to function table?

a table used to show values of the variable expression for a given function


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 advantages can you see of having a function rule instead of a table of values?

A table of values is no use if the domain is infinite.


What function searches for a specific value in a table and returns that values relative position from the table not the value itself?

The MATCH function.


What is the Definition to function?

a table used to show values of the variable expression for a given function


What are the three views of a function?

rule, table of values and graph


What is a table that is used to describe a function by listing all outputs?

It is generally referred to as "a table of values"


What function is used to total table values that meet a specified criteria in Excel?

The SUMIF function.