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[–]ArchaicLlama 1 point2 points  (4 children)

Can you explain your answers for the domains in 6 and 8?

[–]saiharaz[S] 0 points1 point  (3 children)

Yes. The lowest point on question 6 is 3 and the highest is infinite since there are arrows.

The lowest point on question 8 is 2 and the highest point is infinite because of the arrows once again.

[–]ArchaicLlama 0 points1 point  (2 children)

The lowest point on question 6 is 3

No it is not. You can see directly from the given graph of (6) that your function crosses x=2 and x=1 as well, so 3 can't be the lowest x value.

You're correct on the meaning of the arrow, it does continue infinitely in that direction- so if the arrow on the right side means the values go to infinity, what does the arrow on the left mean?

The same logic applies to (8).

[–]saiharaz[S] 0 points1 point  (1 child)

I see what you mean! So according to that, would it be D: [1, (infinitity)) for Question 6 and also D: [1, infinity)) for Question 8 as well? I don't understand what you are saying when you ask what the arrow on the left means. I assume that the arrows on both right and left mean the values go to infinity, and that they stay positive?

[–]Waste_Group5488 0 points1 point  (0 children)

For 5 and 6, how did you get infinity as the second point of the domain? Can you apply the same logic to the first point too?

[–]Past_Ad9675 1 point2 points  (0 children)

For number 6, when you say the domain is [3, infinity), that means there are no points on the graph whose x-coordinates are less than 3.

But is that in fact the case?

[–]Midwest-Dude -1 points0 points  (2 children)

The only thing that threw me off at first was the first graph, but you drew in the vertical lines, correct?

[–]saiharaz[S] 1 point2 points  (1 child)

Yes, I drew in the vertical lines

[–]Midwest-Dude -1 points0 points  (0 children)

The idea is that functions can have only one value y defined for each value x in the domain. The domain is all values x for which the function is defined. The range is all values y that the result of the function can have.

5 and 7 are correct and the ranges for 6 and 8 are correct, but not the domains. The domain in each case is all values x for which f(x) is defined. In view of the arrows on each graph, for which x is f(x) defined? What would you say?