Which of these plots represents a ReLU activation function?

Question

BlackTom AI · Accepted Answer

We are asked to identify which plot represents a ReLU activation function.
First, recall the defining shape of ReLU: y = max(0, x). This means the output is zero for all non-positive inputs and it grows linearly with slope 1 for positive inputs. The plot should therefore have a flat horizontal segment at y = 0 for x ≤ 0 and a 45-degree line y = x for x > 0.
Option analysis:
- Figure 2: If this plot shows outputs that are not zero on the negative side (or does not flatten at y = 0 for x ≤ 0), then it does not match ReLU. ReLU must have a zero-output floor on the left side.
- Figure 3: If this plot displays a horizontal line at y = 0 for negative x and a straight line with slope 1 for positive x, that exactly matches the ReLU shape. This is the characteristic signature of ReLU.
- Figure 1: If this plot shows a single straight line crossing through the origin with equal slope everywhere (y = x for all x) or a different nonzero baseline for negative inputs, it would correspond to a pure linear identity or another function, not ReLU, since ReLU is not active (zero) for negative inputs.
- Figure 4: If this plot depicts a curve that saturates, plateaus at some positive or negative value, or otherwise deviates from the linear-then-flat ReLU pattern, it is not ReLU. ReLU has no saturation for positive values and remains linear with slope 1 there.
In summary, the plot that shows zero output for negative inputs and a line with slope 1 for positive inputs matches the ReLU activation. The option that corresponds to that description is Figure 3.

Which of these plots represents a ReLU activation function?

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