Answer:
31. D: {8, 4, 0, -4}; R: {2, -1}; yes
32. D: {-1, 2, 7}; R: {-4, -3, -2, 0}; no
33. D: {-4, -3, -1, 2, 3, 5}; R: {-3, -2, 0, 3, 5}; yes
34. D: (-∞, ∞); R: (-∞, 4]; yes
35. D: [0, 5]; R: [-2, 3]; no
Explanation:
In this context, D means "domain" and R means "range." The domain of a function is the list of input values for which the function is defined. For ordered pairs, it is the first number of the pair. For an x-y table, it is the list of x-values. For a graph, it is the possible values of x.
A relation is a function only if there are no repeated values in the domain (2 or more outputs for the same input.)
The range of a function is the list of output values produced by the function. For ordered pairs, it is the second number of the pair. For an x-y table, it is the list of y-values. For a graph, it is the possible values of y.
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31. D: {8, 4, 0, -4}
R: {2, -1}
Function: yes
Domain and range values don't need to be repeated. Often, they're listed in order from lowest to highest. Here, we have listed them in order of occurrence in the function definition.
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32. D: {-1, 2, 7}
R: {-4, -3, -2, 0}
Function: no
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33. D: {-4, -3, -1, 2, 3, 5}
R: {-3, -2, 0, 3, 5}
Function: yes
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34. D: (-∞, ∞)
R: (-∞, 4]
Function: yes
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35. D: [0, 5]
R: [-2, 3]
Function: no . . . . . . there are 2 y-values for most x-values