Answer: see below
Step-by-step explanation:
Domain represents the x-values from the smallest (furthest left) to the biggest (furthest right).
Range represents the y-values from the lowest (furthest down) to the highest (furthest up).
Interval notation: If a value is included (closed dot), use a bracket [ ]
If a value is NOT included (open dot), use a parenthesis ( )
Note that ± ∞ is never included.
1. Domain: smallest x-value is -4 (included). biggest x-value is 3 (included)
Range: lowest y-value is 2 (included). highest y-value is 5 (included)
D: x = [-4, 3] R: y = [2, 5]
2. Domain: smallest x-value is -∞ (←). biggest x-value is 2 (included)
Range: lowest y-value is 2 (included). highest y-value is ∞ (↑)
D: x = (-∞, 2] R: y = [2, ∞)
3. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is -∞ (↓). highest y-value is ∞ (↑)
D: x = (-∞, ∞) R: y = (-∞, ∞)
4. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is -∞ (↓). highest y-value is 4 (included)
D: x = (-∞, ∞) R: y = (-∞, 4]
5. Domain: smallest x-value is -∞ (←). biggest x-value is ∞ (→)
Range: lowest y-value is 3 (included). highest y-value is ∞ (↑)
D: x = (-∞, ∞) R: y = [3, ∞)
6. Domain: smallest x-value is -2 (included). biggest x-value is ∞ (→)
Range: lowest y-value is -3 (included). highest y-value is ∞ (↑)
D: x = [-2, ∞) R: y = [-3, ∞)
