Determine if the statement is always, sometimes or never true.
2 answers:
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Answer:
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values).
The range of a function is the set of all possible output values (y-values).
<u>Interval notation</u>
- ( or ) : Use parentheses to indicate that the endpoint is excluded.
- [ or ] : Use square brackets to indicate that the endpoint is included.
<u>Inequality notation</u>
- < means "less than".
- > means "more than".
- ≤ means "less than or equal to".
- ≥ means "more than or equal to".
From inspection of the given graph, the function is continuous and so the domain is <u>not</u> restricted.
Therefore, the domain of the function is:
- Interval notation: (-∞, ∞)
- Inequality notation: -∞ < x < ∞
From inspection of the given graph, the minimum value of y is -3 and the maximum value of y is 3. Both values are included in the range.
Therefore, the range of the function is:
- Interval notation: [-3, 3]
- Inequality notation: -3 ≤ y ≤ 3