QuestionProblems 4-5: Determine whether or not the array describes a function.
4)
Input (x)
Output ( y )
5) Input (x)
Output (y)
Studdy Solution
STEP 1
1. A function is defined as a relation where each input has exactly one output.
2. We are given mappings of inputs to outputs for two problems.
3. We need to determine if each mapping represents a function.
STEP 2
1. Analyze the mappings for problem 4.
2. Determine if problem 4 represents a function.
3. Analyze the mappings for problem 5.
4. Determine if problem 5 represents a function.
STEP 3
Review the mappings for problem 4: - Inputs: -10, 0, 10, 20 - Outputs: 3, 6 - Mapping: - -10 maps to 3 - 0 maps to 3 - 10 maps to 6 - 20 maps to 6
STEP 4
Check if each input in problem 4 has exactly one output:
- Each input (-10, 0, 10, 20) maps to one unique output (3 or 6).
Conclusion: Problem 4 describes a function.
STEP 5
Review the mappings for problem 5: - Inputs: 5, 10, 18 - Outputs: -8, -3, 0, 7 - Mapping: - 5 maps to -8 - 10 maps to -3 - 10 maps to 0 - 18 maps to 7
STEP 6
Check if each input in problem 5 has exactly one output:
- The input 10 maps to two different outputs (-3 and 0).
Conclusion: Problem 5 does not describe a function.
The results are:
- Problem 4: Describes a function.
- Problem 5: Does not describe a function.
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