Question

Is the function shown in the graph even or odd?

Image related to the assessment question

Responses

even
even

odd
odd

neither

Answer 1

I can’t see the graph you’re referring to — could you upload it or describe it (key points, symmetries, or equation)?

How to decide once I can see it (or you can apply this yourself):
- Even function: symmetric about the y‑axis. For every point (x, y) on the graph there must be a matching point (−x, y).
- Odd function: symmetric about the origin. For every point (x, y) there must be a matching point (−x, −y).
- If neither symmetry holds, the function is neither even nor odd.
- Special case: the zero function f(x)=0 is both even and odd.

Quick test you can do on the graph:
1. Pick a few x values (e.g. x = 1, 2, 3). Note the corresponding y values.
2. Check the points at the negative x values:
- If f(−x) = f(x) for all tested x → likely even.
- If f(−x) = −f(x) for all tested x → likely odd.
- If neither holds for some x → neither.

Send the image or a brief description and I’ll tell you which it is.