The table shows a function. Is the function linear or nonlinear?
linear
nonlinear
Is the function linear or nonlinear?
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To determine if a function is linear or nonlinear, we look at the relationship between the input (x) and output (y) values. A function is linear if it can be represented by a straight line on a graph, meaning there is a constant rate of change or slope between the inputs and outputs.
1. Linear Function: If the difference in y-values divided by the difference in x-values remains constant, the function is linear.
2. Nonlinear Function: If that ratio changes, implying the graph is curved, the function is nonlinear.
Please check the data in the table for consistent intervals, and apply this understanding to determine whether the function is linear or nonlinear. If you need further assistance, feel free to ask!