When searching for a vertical blue bar among a set of horizontal blue bars and vertical yellow bars, we would expect to find a display size function in which:

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The question asks about the display size function for a visual search task where the target is a vertical blue bar among bars that are either horizontal blue or vertical yellow. 
Option 1: 'Mean RT is roughly constant for displays of different size and is the same for target-present and target-absent displays.' This statement describes a classic feature search scenario where the target differs from distractors by a single feature (e.g., color or orientation) and thus detection is parallel and unaffected by display size. In the given configuration, if the task is structured so that the target reliably 'pops out' regardless of set size, RT would remain roughly constant across sizes and be similar for target-present and target-absent conditions. 
Option 2: 'Mean RT is a linear function of display size with the same slopes for target-absent and target-present displays.' This would imply that both target-present and target-absent trials increase linearly with display size at the same rate, which is inconsistent with many classic visual search findings where absent-target trials typically incur more processing time, producing a steeper slope.
Option 3: 'Mean RT is a linear function of display size with the slope for target-absent displays around twice that for target-present displays.' This reflects the common finding in conjunction searches or when the target shares features with distractors: absent trials often take disproportionately longer, yielding a steeper slope for target-absent conditions, but the specific ratio being about twice is a general heuristic and not universally fixed. Depending on task specifics, the exact ratio can vary, and some experiments do not produce a twofold difference.
Option 4: 'Mean RT is a linear function of display size with the slope for target-present displays around twice that for target-absent displays.' This is the inverse of typical findings for many visual search tasks: absent trials usually produce longer RTs and steeper slopes, not present trials. Therefore, this option conflicts with standard patterns where target-absent RTs increase more rapidly with display size.
In sum, Option 1 aligns with a scenario where display size does not modulate mean RT and where RTs do not differ dramatically between target-present and target-absent conditions, which is characteristic of a highly efficient (pop-out) search. The other options posit a linear relationship with display size and differential slopes that depend on target presence, which do not match the described display where the target is a distinct vertical blue bar among other blue and yellow bars in a way that would produce the same RT pattern across conditions.

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When searching for a vertical blue bar among a set of horizontal blue bars and vertical yellow bars, we would expect to find a display size function in which:

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