Input, 0,1,2,3 output: 5,7,15,44 What is the Domain and What is the Range?
How would I figure this out? Can anyone explain on how they found them?
Domain is the same as the input or x.
Range is the same as the output or y.
To determine the domain and range of a function, we need to examine the input and output values given and understand the pattern or relationship between them.
In this case, the given inputs are 0, 1, 2, and 3, and the corresponding outputs are 5, 7, 15, and 44 respectively.
To identify the domain, we look at the inputs or x-values. In this case, the inputs are 0, 1, 2, and 3. Therefore, the domain is {0, 1, 2, 3}.
To find the range, we consider the outputs or y-values. The outputs are 5, 7, 15, and 44. By observing the pattern or relationship between these numbers, we can determine that the range is {5, 7, 15, 44}.
In summary:
Domain: {0, 1, 2, 3}
Range: {5, 7, 15, 44}
To find the domain and range of a function, we need to examine the given input-output pairs.
First, let's look at the given inputs: 0, 1, 2, 3. The domain of a function represents the set of possible input values. In this case, the inputs provided are explicitly given as 0, 1, 2, and 3. Therefore, the domain is {0, 1, 2, 3}.
Now, let's analyze the corresponding outputs: 5, 7, 15, 44. The range of a function represents the set of possible output values. By observing the outputs, we can see that they are distinct and do not repeat. Thus, the range is {5, 7, 15, 44}.
To summarize:
- Domain: {0, 1, 2, 3}
- Range: {5, 7, 15, 44}
To determine the domain and range in general, you can follow these steps:
1. Identify all the input values provided.
2. List these input values as the domain.
3. Observe the corresponding output values.
4. List these output values as the range, without repetition.
Remember that in some cases, the domain and range could be infinite if there are no specific restrictions on the inputs or outputs.