Question

PLEASE HELP FAST I NEED A EXPERT OR HIGHER 20 POINTS! I need the domain and range of each Graph 2 number so for example 5/1 or something THANKS!!

Answer 1

Problem 1

Answers:

Domain:
`-3 \le x < 5`

Range:
`-4 < y \le 3`

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Step-by-step explanation:

The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.

The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is
`-4 < y \le 3`

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Problem 2

Answers:

Domain:
`-2 < x < 4`

Range:
`-2 < y < 5`

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Step-by-step explanation:

We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.

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Problem 3

Answers:

Domain:
`1 \le x \le 4`

Range:
`-4 \le y \le -1`

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Step-by-step explanation:

The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.