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Which interval notation accurately represents thedomain?(-∞, 7) U (7,00) (-00, 5) U (5,00) (-∞0, 0) U (0,00) (-∞, 10) U (10,00)

Which interval notation accurately represents thedomain?(-∞, 7) U (7,00) (-00, 5) U-example-1
User DeKaNszn
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The domain of a function is the set of all values of x that satisfies the function. On the graph, it is between the minimum value of x on the left and the maximum value of x on the right.

Looking at the graph, it extends infinitely to the left. It moves towards x = 7 but never touches it. This means that there is a vertical asymptote at x = 7. It extends towards infinity on the right. Thus, the domain is

Domain = (-∞, 7) U (7,∞)

The range is the set of all values of y that satisfy the function. It extends from negative infinity at the bottom to y = 0 but never touches it. It extends from this point towards positive infinity at the top. Thus,

Range = (-∞, 0) U (0,∞)

User Abk
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