Determine whether the given function is linear or nonlinear....

Determine whether the given function is linear or nonlinear. If it is linear, determine the slope.
$$\begin{array}{|cc|}\hline x & y=f(x) \\\hline-2 & 8 \\-1 & 8 \\0 & 8 \\1 & 8 \\2 & 8 \\\hline\end{array}$$

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Key Concepts

Constant Function

A constant function is a specific type of linear function where the output value remains the same regardless of the input value. This can be seen when every point on the function has the same y-value. Consequently, the graph of a constant function is a horizontal line, and its slope, calculated as the difference in the y-values, is zero.

Linear Function

A linear function is defined as a function that can be written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. In a linear function, the relationship between the independent and dependent variables is consistent, which means the graph of the function is a straight line.

Slope

The slope of a function measures the rate of change between the dependent variable and the independent variable. It is calculated as the change in y divided by the change in x for any two points on the function. In the case of a constant function, where the value does not change as x changes, the slope is zero.

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