Is the function represented by the graph even, odd, or neither? Select the correct answer from the list.

Use the image to answer the question.

The coordinate grid has x- and y-axes labeled from negative 5 to 5.

(1 point)
The function represented by the graph is
.

1 answer

To determine whether a function represented by a graph is even, odd, or neither, you usually analyze the symmetry of the graph:

  • A function is even if it is symmetric with respect to the y-axis. This means that for every point (x, y) on the graph, the point (-x, y) is also on the graph.

  • A function is odd if it is symmetric with respect to the origin. This means that for every point (x, y) on the graph, the point (-x, -y) is also on the graph.

  • If the function does not fit into either of these categories, it is considered neither.

Since I cannot see the graph you're referencing, please check for these symmetries based on the criteria above to determine the nature of the function.

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