Studdy AI Logo
Math

QuestionFind the function with domain {−5,−3,0,3,11}\{-5,-3,0,3,11\} and range {−4,0,2}\{-4,0,2\} from the given sets of pairs.

Studdy Solution

STEP 1

Assumptions1. The domain of a function is the set of all possible input values (independent variables), which we denote by x. . The range of a function is the set of all possible output values (dependent variables), which we denote by y.
3. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
4. The given domain is {−5,−3,0,3,11}\{-5,-3,0,3,11\}.
5. The given range is {−4,0,}\{-4,0,\}.
6. We are given four sets of ordered pairs and we need to find which one of these sets can be a function with the given domain and range.

STEP 2

We need to check each set of ordered pairs to see if they match the given domain and range.The first set of ordered pairs is {(−4,−),(2,11),(0,),(−4,−5),(0,0)}\{(-4,-),(2,11),(0,),(-4,-5),(0,0)\}.The domain of this set is {−4,2,0}\{-4,2,0\} and the range is {−,11,,−5,0}\{-,11,,-5,0\}.This does not match the given domain and range, so this set cannot be the function we are looking for.

STEP 3

The second set of ordered pairs is {(−5,−),(−3,0),(0,2),(3,5),(10,−1)}\{(-5,-),(-3,0),(0,2),(3,5),(10,-1)\}.
The domain of this set is {−5,−3,0,3,10}\{-5,-3,0,3,10\} and the range is {−,0,2,5,−1}\{-,0,2,5,-1\}.
This does not match the given domain and range, so this set cannot be the function we are looking for.

STEP 4

The third set of ordered pairs is {(−,11),(−4,2)}\{(-,11),(-4,2)\}.
The domain of this set is {−,−4}\{-,-4\} and the range is {11,2}\{11,2\}.
This does not match the given domain and range, so this set cannot be the function we are looking for.

STEP 5

The fourth set of ordered pairs is {(3,0),(−3,−4),(11,2),(0,−4),(−5,0)}\{(3,0),(-3,-4),(11,2),(0,-4),(-5,0)\}.
The domain of this set is {3,−3,11,0,−5}\{3,-3,11,0,-5\} and the range is {0,−4,2,−4,0}\{0,-4,2,-4,0\}.
This does not match the given domain and range, so this set cannot be the function we are looking for.

STEP 6

None of the given sets of ordered pairs match the given domain and range, so none of the given sets can be the function we are looking for.
Therefore, the answer is that none of the given functions have the domain {−5,−3,0,3,11}\{-5,-3,0,3,11\} and the range {−4,0,2}\{-4,0,2\}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord