A function's graph may include solutions that do not appear in its table of values.
(1 point)
Responses
true
true
false
false
true
are y'all sure
The correct answer is true.
To understand why, let's first define a function's graph and table of values.
The graph of a function represents the relationship between the input values (also known as the domain) and their corresponding output values (also known as the range). It shows how the function behaves and can be visualized on a coordinate plane.
The table of values, on the other hand, is a tabular representation of the function, listing specific input-output pairs. It provides a snapshot of the function's behavior for a limited set of input values.
Now, it is important to note that a function can have an infinite number of input values within its domain. However, when we create a table of values to represent the function, we can only include a finite number of input-output pairs in the table.
As a result, the table of values might only show a limited subset of the function's behavior, while the graph will provide a more comprehensive representation. This means that there may be other input values within the function's domain that produce valid output values but are not included in the table.
Therefore, a function's graph may include solutions that do not appear in its table of values, making the correct answer true.