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Olin [163]
3 years ago
9

The table below shows selected points from a function.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0

The rate change of interval for the given table is Constant , so the function a linear function.

<u>Step-by-step explanation:</u>

A linear function is defined as a function which yields a line in a graph and the rate of change(constant) is called as slope.

Since the rate is constant, then function will result in a straight line.

From the given table the slope m=1 and it changes constantly.

The linear equation formula is y=mx+c.

where m is the slope and c is the y-intercept.

The linear equation for the given table is y=x+1.

∴ The rate change of interval for the given table is Constant , so the function a linear function.

If the graph for a function has any shapes other than a straight line then it doesn't have a constant slope and it will be a non-linear function.

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