Math Problem Statement
Given a table of values, write the relation as a set of ordered pairs and determine the domain and range.
Solution
Let's work through question 9 from the table in the image.
Table from question 9:
x & y \\ \hline -2 & -2 \\ 3 & -1 \\ 5 & 0 \\ 7 & 1 \\ 3 & 0 \\ \end{array}$$ 1. **Write the relation as a set of ordered pairs:** A relation can be expressed as a set of ordered pairs $$(x, y)$$. From the table, the ordered pairs are: $$(-2, -2), (3, -1), (5, 0), (7, 1), (3, 0)$$ 2. **State the domain:** The **domain** consists of all the distinct $$x$$-values in the relation: $$\{ -2, 3, 5, 7 \}$$ (Note: Even though $$3$$ appears twice in the table, we list it only once in the domain.) 3. **State the range:** The **range** consists of all the distinct $$y$$-values in the relation: $$\{ -2, -1, 0, 1 \}$$ Now that we have solved this, feel free to ask for any clarification! Here are some follow-up questions to help deepen your understanding: 1. Can a relation have repeated $$x$$-values in its domain? 2. How would the relation change if one of the $$x$$-values was paired with a different $$y$$-value? 3. Can a relation still be a function if an $$x$$-value repeats with different $$y$$-values? 4. What happens to the range if we added more points with repeated $$x$$-values? 5. How do we graph a relation from a table like this? **Tip**: The domain is always about the $$x$$-values, and the range is about the $$y$$-values!Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Relations
Domain and Range
Ordered Pairs
Formulas
-
Theorems
-
Suitable Grade Level
Grade 7-9