9514 1404 393
Answer:
- domain: [-1, ∞)
- range: (-∞, 7]
- ordered pairs: (-1, 4), (0, 3), (1, 6), (2, 7)
Explanation:
The domain is the horizontal extent of the graph. This graph extends to the left to the point with x=-1. The line going off the bottom is expected to continue to infinity (to the right, as well as down). So, the domain is ...
4 ≤ x < ∞
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The range is the vertical extent of the graph. We've already noted that it extends down to -∞. The peak of the graph is at y = 7. So, the range is ...
-∞ < y ≤ 7
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To determine the values of f(x), locate the x-value on the x-axis. Follow the vertical line until it meets the curve. Then follow the horizontal line to the y-axis to find the y-value at that point. That is the value of f(x). We read the following from the graph:
- f(-1) = 4
- f(0) = 3
- f(1) = 6
- f(2) = 7