State whether the functions represented by graphs A , B , C and ​​ in the figure are even, odd, or neither. <IMAGE>

Verified step by step guidance

1. Step 1: Understand the definitions of even and odd functions. An even function satisfies f(x) = f(-x) for all x in its domain, meaning it is symmetric with respect to the y-axis. An odd function satisfies f(-x) = -f(x) for all x in its domain, meaning it is symmetric with respect to the origin.
2. Step 2: Analyze the symmetry of each graph. For graph A, check if the graph is symmetric with respect to the y-axis (even) or the origin (odd).
3. Step 3: Repeat the symmetry analysis for graph B. Determine if graph B is symmetric with respect to the y-axis or the origin.
4. Step 4: Perform the same symmetry check for graph C. Look for y-axis symmetry or origin symmetry to classify the function.
5. Step 5: Based on the symmetry analysis, classify each function as even, odd, or neither. If a graph does not exhibit symmetry with respect to the y-axis or the origin, it is neither even nor odd.