Question
upstudy study bank question image url

What are the domain and range of this function \[ \begin{array}{l}(4,3) \\ (-10,9) \\ (0,10) \\ (-7,-5)\end{array} \]

Ask by Page Garza. in Mexico
Mar 07,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Domain: {4, -10, 0, -7} Range: {3, 9, 10, -5}

Solution

To determine the domain and range of the given function represented by the set of points, we will follow these steps: 1. **Identify the Domain**: The domain consists of all the first elements (x-coordinates) of the ordered pairs. 2. **Identify the Range**: The range consists of all the second elements (y-coordinates) of the ordered pairs. Let's extract the coordinates from the given points: - (4, 3) - (-10, 9) - (0, 10) - (-7, -5) ### Step 1: Find the Domain The x-coordinates are: - 4 - -10 - 0 - -7 Thus, the domain is: \[ \text{Domain} = \{4, -10, 0, -7\} \] ### Step 2: Find the Range The y-coordinates are: - 3 - 9 - 10 - -5 Thus, the range is: \[ \text{Range} = \{3, 9, 10, -5\} \] ### Final Answer - **Domain**: \(\{4, -10, 0, -7\}\) - **Range**: \(\{3, 9, 10, -5\}\)

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

The domain of this function consists of all the first elements (x-values) from each ordered pair. So, the domain is \(\{-10, -7, 0, 4\}\). The range is made up of all the second elements (y-values) from the ordered pairs. Thus, the range is \(\{-5, 3, 9, 10\}\). In summary, for this function, the domain is \(\{-10, -7, 0, 4\}\) and the range is \(\{-5, 3, 9, 10\}\).

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy