Question

Here is the other problem I need help on tonight. Again, I'll put it in screenshot form because it has a graph involved. For part b), I'm pretty sure I just wasn't thinking and selected the wrong choice. Is the answer for that one supposed to be 0.5?

https://gyazo.com/4fde46b3d979051ec36b9a9ac672fdef

Answer 1

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Answer 2

For finding limits from a graph, look for the value that the graph approaches (ie follow the line of the graph)

For a), what value does the graph approach, as you approach x=5 from the right?

For b), what value does the graph approach, as you approach x=3 from either side?

Answer 3

I think the thing that is throwing me off is that there are two points. Or well... Not points, but two different y values. I guess for part a), I would have to say that it approaches 0, but I don't know if that's right or not because of the (6*g(x) - 11). The only other thing I can figure is that the answer is -11.

Answer 4

There is only one y-value as you approach x=5 ***from the right***. So plug that y value into that expression.

Answer 5

Okay, so that would end up being -11. What about part b? Would the answer be 1?

Answer 6

Yes, and yes for b), since the graph approaches y=1.

Notice that it does not approach y=0.5, that's just the value of the function at x=3, and has nothing to do with the limit as you approach x=3.

Answer 7

Oh okay. I think the thing throwing me off with this problem was all the extra numbers and points. Otherwise it probably would have been too easy. Thank you for the help.

Answer 8

Reading limits is easy from a graph - just follow the graph itself. The limits care not for randomly placed dots.