Question

Which set represents a valid function?

A) Domain: {10,11, 4} Range: {10, 11,2}
B) Domain: {-5, 5} Range: {10,11,12}
C) Domain: {-5, -2, 1, 5} Range: {10,11,4}
D) None of the above

Answer 1

Option A and Option C can represent valid functions if every domain element is paired with exactly one range element, while Option B cannot since there are more range elements than domain elements.

Step-by-step explanation:

To determine which set represents a valid function, we need to assess if every element in the domain corresponds to exactly one element in the range. A function can have one domain element paired with only one range element, but multiple domain elements can be paired with the same range element.

• Option A - Domain: {10,11, 4}, Range: {10, 11,2}: This set can represent a valid function assuming that each domain element is paired with one and only one of the range elements.
• Option B - Domain: {-5, 5}, Range: {10,11,12}: This set cannot be a valid function because there are more range elements than domain elements, which means at least one domain element must be matched to more than one range element.
• Option C - Domain: {-5, -2, 1, 5}, Range: {10,11,4}: This set can represent a valid function assuming that each domain element is paired with one and only one range element.
• Option D - None of the above: This option is incorrect because Options A and C are possible valid functions if they meet the defined pairing criteria.

The correct answers are Option A and Option C as both could potentially represent valid functions given the criteria for a function's domain and range.