QQuestionMathematics
QuestionMathematics
What is the domain of the relation graph below?
- ☐ domain: {*x*|*x* ∈ *N*}
- ☐ domain: {*x*|*x* ∈ *R*}
- ☐ domain: {*x*|- 4 ≤ *x* ≤ 4}
- ☐ domain: {*x*|- 1 ≤ *x* ≤ 1}
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Step 1:I'll solve this step-by-step, focusing on determining the domain of the given relation graph.
Step 2:: Understanding Domain
The domain of a relation is the set of all input (x) values that have a corresponding output (y) value in the graph.
Step 3:: Analyzing the Graph
Looking at the graph, I'll identify the x-coordinates of all points: - The graph has points at x = - 3, - 2, - 1, 0, 1, 2, 3
Step 4:: Determining Domain Range
To find the domain, I'll look at the horizontal spread of the points. - The leftmost point is at x = - 3 - The rightmost point is at x = 3
Step 5:: Expressing Domain
The domain can be expressed as: $$\{x \mid -3 \leq x \leq 3\}
Step 6:: Checking Answer Choices
Comparing the domain to the given choices, the correct answer is: - domain: {*x*|- 4 ≤ *x* ≤ 4}
Final Answer
\{x \mid - 4 \leq x \leq 4\}
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