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bazaltina [42]
3 years ago
11

Using the graph of f(x) below, find lim f(x), x ->3 -5 Does not exist 0 1.7

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0

well, looking at the picture, coming from the right, namely lim -> 3⁺

starts off at 0 when x = 5, then as "x" moves to the left, it starts to go down and down and down, we have a dashed lilne at that section, namely is an asymptote, so there's a vertical asymptote at x = 3, which means that line keeps on going down to -∞.

now, coming from the left, namely lim -> 3⁻, starts off at 2 as "x" moves to the right it is going down and down and down towards the asymptotic line, so then coming from the left the limit is also -∞.

so one can say that \bf \lim\limits_{x\to 3}~ f(x) = -\infty, or it does not exist.

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Can someone please help me with this problem? An explanation would be great, but it can be short. Thank you!!
ss7ja [257]

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21


I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)

7 0
3 years ago
Last week, Clay wrote 4 checks for $20 each from his checking account and
Sidana [21]

Answer:

Step-by-step explanation:

clay will have

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the change in balance is +16

5 0
3 years ago
Month after month, Jessica is overspending in her budget and decreasing her savings account balance as a result. Which action wo
Black_prince [1.1K]

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no

Step-by-step explanation:

6 0
2 years ago
In the figure, AB || CD. Find the measure of < GEB.
Maru [420]
If AB ║ CD then <GEB = 50 (corresponding angles are equal)

Answer is B.
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7 0
3 years ago
What slope of a line that passes through (4, -1) and (2,9)
pickupchik [31]

Answer:

-5

Step-by-step explanation:

The slope is given by

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   = (9 - -1)/ ((2 - 4)

   = (9+1)/(2-4)

   = 10/-2

   = -5

3 0
3 years ago
Read 2 more answers
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