Question

Use the image to solve the problem below.



The function shown in the graph is:

(1 point)
Responses

Even
Even

Odd
Odd

Neither Even nor Odd
Neither Even nor Odd

Both Even and Odd
Both Even and Odd
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Answer 1

To determine whether a function is even, odd, or neither based on a graph, you can use the following definitions:

- **Even Function**: A function \( f(x) \) is even if \( f(-x) = f(x) \) for all \( x \) in the domain. Graphically, this means that the function is symmetric with respect to the y-axis.

- **Odd Function**: A function \( f(x) \) is odd if \( f(-x) = -f(x) \) for all \( x \) in the domain. Graphically, this means that the function is symmetric with respect to the origin.

- **Neither**: If a function does not meet the conditions for even or odd, it is classified as neither.

To solve the problem, you would need to analyze the provided graph:

1. Check for symmetry about the y-axis (indicative of an even function).
2. Check for symmetry about the origin (indicative of an odd function).
3. If neither symmetry exists, classify the function as neither even nor odd.

Without seeing the actual graph, I can't provide a specific answer. However, based on these definitions, you can review the properties of the graph you have and select the correct classification.