Let's analyze the graphs to determine whether each one is even, odd, or neither.

1. Graph A: This graph looks like a curve that is not symmetric about the y-axis or the origin. For a function to be even, it must be symmetric about the y-axis, and for it to be odd, it must be symmetric about the origin. Since Graph A is neither symmetric about the y-axis nor the origin, this function is neither even nor odd.

2. Graph B: This graph appears symmetric about the y-axis. When a function is symmetric about the y-axis, it is classified as an even function. Therefore, Graph B represents an even function.

3. Graph C: This graph shows a function that has no clear symmetry, neither about the y-axis nor the origin. Since there is no symmetry, this function is neither even nor odd.

4. Graph D: This graph appears symmetric about the origin. When a function is symmetric about the origin, it is classified as an odd function. Therefore, Graph D represents an odd function.

Summary:

• Graph A: Neither
• Graph B: Even
• Graph C: Neither
• Graph D: Odd

Would you like further explanation or more details on any of these?

Here are some related questions:

1. How can you determine if a function is even algebraically?
2. What is the mathematical definition of an odd function?
3. Can a function be both even and odd?
4. What does symmetry about the y-axis imply for the function’s behavior?
5. How do transformations affect the evenness or oddness of a graph?

Tip: To check if a function is even or odd algebraically, substitute $x$ with $-x$ and see how the function behaves. If $f(-x) = f(x)$, the function is even; if $f(-x) = -f(x)$, it is odd.