Answered

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Domain and Range
(a)
f(−1) =


(b)
f(0) =


(c)
f(1) =


(d)
f(2) =


Domain And Range A F1 B F0 C F1 D F2 class=

Sagot :

9514 1404 393

Answer:

  • domain: [-1, ∞)
  • range: (-∞, 7]
  • ordered pairs: (-1, 4), (0, 3), (1, 6), (2, 7)

Step-by-step 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 < ∞

__

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

__

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
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