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sethjohnson386pbnm3x
14.12.2020 •
Mathematics
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!!
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Ответ:
Problem 1
Answers:
Domain:![-3 \le x < 5](/tpl/images/0982/7687/14c43.png)
Range:![-4 < y \le 3](/tpl/images/0982/7687/ea75f.png)
--------------------
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](/tpl/images/0982/7687/ea75f.png)
===========================================
Problem 2
Answers:
Domain:![-2 < x < 4](/tpl/images/0982/7687/b74a7.png)
Range:![-2 < y < 5](/tpl/images/0982/7687/9440d.png)
--------------------
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.
===========================================
Problem 3
Answers:
Domain:![1 \le x \le 4](/tpl/images/0982/7687/000bc.png)
Range:![-4 \le y \le -1](/tpl/images/0982/7687/dbb48.png)
--------------------
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.
Ответ:
sqrt(41)
Step-by-step explanation:
The new point, A' has coordinates=(-3,2). The distance between them is sqrt((-8+3)^2+(6-2)^2)=sqrt(5^2+4^2)=sqrt(41)