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Determine if the given table of values represents a linear, exponential, or quadratic function.

Question 1 options:

A)

Quadratic

B)

Exponential

C)

Linear

D)

Can't be determined

Determine if the given table of values represents a linear, exponential, or quadratic-example-1

1 Answer

5 votes

The given table of values represents a linear function.

The given table of values represents a linear function.

A linear function is a function that can be represented by a straight line on a graph. It has a constant rate of change, meaning that the difference between consecutive y-values is always the same.

To determine if the given table represents a linear function, we can examine the differences between consecutive y-values. If the differences are the same, then it is a linear function.

For example, if we have the values (1, 2), (2, 4), (3, 6), the differences between consecutive y-values are always 2. Therefore, it represents a linear function.

In the same way, we can examine the given table of values to see if the differences between consecutive y-values are the same. If they are, then we can conclude that the table represents a linear function.

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