{"answerArea": {"calculator": false, "chi2Table": false, "periodicTable": false, "tTable": false, "zTable": false}, "hints": [{"content": "The $x$-intercept is the point of intersection between the graph of the function $S(w)$ and the $x$-axis, which is the point on the graph where $S(w)=0$. In this case the horizontal axis represents the variable $w$, but it's common to call that axis the $x$-axis.\n\nThis graph has an $x$-intercept at about $(320,0)$, which means that *a wavelength of $\\textit{320}$ nanometers is virtually undetectable by the human eye.*\n\n\n\n[[☃ image 1]]\n\n", "images": {}, "replace": false, "widgets": {"image 1": {"alignment": "block", "graded": true, "options": {"alt": "The first quadrant of a coordinate plane. The x-axis scales by eighty and is labeled w for the wavelength in nanometers. The y-axis scales by ten and is labeled S of w for the sensitivity of a function. The graph of the function is a continuous curve. From left to right, it starts at an x-intercept three hundred twenty, zero and increases through the point four hundred, one, the point four hundred eighty, twenty, and the point five hundred twenty, sixty-five until it reaches a local maximum at five hundred sixty, one hundred. Then it decreases through the point six hundred, sixty-five, the point six hundred forty, twenty, and the point seven hundred twenty, one until it stops at an x-intercept eight hundred, zero. The point three hundred twenty, zero is plotted on the function.", "backgroundImage": {"height": 231, "url": "web+graphie:${☣ LOCALPATH}/images/781eb2269e1828c0cd0f1eef4bef514df7aea493", "width": 231}, "box": [231, 231], "caption": "", "labels": [], "range": [[0, 10], [0, 10]], "static": false, "title": ""}, "static": false, "type": "image", "version": {"major": 0, "minor": 0}}}}, {"content": "A relative maximum (or minimum) point is a point that is higher (or lower) than all of the points surrounding it.\n\nThis graph has a relative maximum point at $w=560$, which means that *the human eye is most sensitive to a wavelength of $\\textit{560}$ nanometers.*\n\n\n\n[[☃ image 1]]\n\n", "images": {}, "replace": false, "widgets": {"image 1": {"alignment": "block", "graded": true, "options": {"alt": "The first quadrant of a coordinate plane. The x-axis scales by eighty and is labeled w for the wavelength in nanometers. The y-axis scales by ten and is labeled S of w for the sensitivity of a function. The graph of the function is a continuous curve. From left to right, it starts at an x-intercept three hundred twenty, zero and increases through the point four hundred, one, the point four hundred eighty, twenty, and the point five hundred twenty, sixty-five until it reaches a local maximum at five hundred sixty, one hundred. Then it decreases through the point six hundred, sixty-five, the point six hundred forty, twenty, and the point seven hundred twenty, one until it stops at an x-intercept eight hundred, zero. The point five hundred sixty, one hundred is plotted on the function.", "backgroundImage": {"height": 231, "url": "web+graphie:${☣ LOCALPATH}/images/0626129937459498ddbb0edf861450e0170b82de", "width": 231}, "box": [231, 231], "caption": "", "labels": [], "range": [[0, 10], [0, 10]], "static": false, "title": ""}, "static": false, "type": "image", "version": {"major": 0, "minor": 0}}}}, {"content": "An increasing (or decreasing) interval is a domain interval over which the function values increase (or decrease) as the input variable increases.\n\nIn this graph, the interval $[560,800]$ is a decreasing interval. This means that *as the wavelength grows beyond $\\textit{560}$ nanometers, the human eye becomes less sensitive to it.*\n\n\n\n[[☃ image 1]]\n\n", "images": {}, "replace": false, "widgets": {"image 1": {"alignment": "block", "graded": true, "options": {"alt": "The first quadrant of a coordinate plane. The x-axis scales by eighty and is labeled w for the wavelength in nanometers. The y-axis scales by ten and is labeled S of w for the sensitivity of a function. The graph of the function is a continuous curve. From left to right, it starts at an x-intercept three hundred twenty, zero and increases through the point four hundred, one, the point four hundred eighty, twenty, and the point five hundred twenty, sixty-five until it reaches a local maximum at five hundred sixty, one hundred. Then it decreases through the point six hundred, sixty-five, the point six hundred forty, twenty, and the point seven hundred twenty, one until it stops at an x-intercept eight hundred, zero. The function is highlighted from x equals five hundred sixty to x equals eight hundred.", "backgroundImage": {"height": 231, "url": "web+graphie:${☣ LOCALPATH}/images/41b13b1d1b45dfe3fd15902a751cfb44329af908", "width": 231}, "box": [231, 231], "caption": "", "labels": [], "range": [[0, 10], [0, 10]], "static": false, "title": ""}, "static": false, "type": "image", "version": {"major": 0, "minor": 0}}}}, {"content": "To sum it up, the table should look as follows:\n\nFeature | Statement\n:-: | :-:\n$x$-intercept | A wavelength of $320$ nanometers is virtually undetectable by the human eye.\nRelative maximum or minimum | The human eye is most sensitive to a wavelength of $560$ nanometers.\nIncreasing or decreasing interval | As the wavelength grows beyond $560$ nanometers, the human eye becomes less sensitive to it.", "images": {}, "replace": false, "widgets": {}}], "itemDataVersion": {"major": 0, "minor": 1}, "question": {"content": "The human eye has different levels of sensitivity for different wavelengths of light. We can measure this sensitivity by comparing it (in percentages) to the highest possible sensitivity.\n\n$S(w)$ models sensitivity as a function of wavelength $w$ (in nanometers).\n\n**Match each statement with the feature of the graph that most closely corresponds to it.**\n\n\n\n[[☃ image 1]]\n\n[[☃ matcher 1]]", "images": {}, "widgets": {"image 1": {"alignment": "block", "graded": true, "options": {"alt": "The first quadrant of a coordinate plane. The x-axis scales by forty and is labeled w for the wavelength in nanometers. The y-axis scales by five and is labeled S of w for the sensitivity of a function. The graph of the function is a continuous curve. From left to right, it starts at an x-intercept three hundred twenty, zero and increases through the point four hundred, one, the point four hundred eighty, twenty, and the point five hundred twenty, sixty-five until it reaches a local maximum at five hundred sixty, one hundred. Then it decreases through the point six hundred, sixty-five, the point six hundred forty, twenty, and the point seven hundred twenty, one until it stops at an x-intercept eight hundred, zero.", "backgroundImage": {"height": 464, "url": "web+graphie:${☣ LOCALPATH}/images/df369dd7ceb46201f599a2aaf27d6e7a50d8c991", "width": 464}, "box": [464, 464], "caption": "", "labels": [], "range": [[0, 10], [0, 10]], "static": false, "title": ""}, "static": false, "type": "image", "version": {"major": 0, "minor": 0}}, "matcher 1": {"alignment": "default", "graded": true, "options": {"labels": ["**Feature**", "**Statement**"], "left": ["$x$-intercept", "Relative maximum or minimum", "Increasing or decreasing interval"], "orderMatters": false, "padding": true, "right": ["A wavelength of $320$ nanometers is virtually undetectable by the human eye.", "The human eye is most sensitive to a wavelength of $560$ nanometers.", "As the wavelength grows beyond $560$ nanometers, the human eye becomes less sensitive to it."]}, "static": false, "type": "matcher", "version": {"major": 0, "minor": 0}}}}}