Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If not, explain why.

a. f(0)
b. lim f(x) x->0
c. f(2)
d.lim f(x) x->2

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Answer:

  a. f(0) = 1

  b. DNE (does not exist)

  c. DNE

  d. lim = 3

Step-by-step explanation:

The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.

The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.

This discussion tells you ...

  f(0) = 1

 f(2) does not exist. There is a "hole" in the function definition there.

__

The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.

Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.

Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.

__

Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."

__

In summary, ...

  a) f(0) = 1

  b) lim x → 0 does not exist

  c) f(2) does not exist

  d) lim x → 2 = 3

_____

Additional comment

The significance of the function not being defined at a point where the limit exists, (2, 3), is that the function is not continuous there. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").

Question is in image

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

The explicit formula for a geometric sequence is an=3(-2)n-1. What is the fifth term of the sequence

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50 POINTS PLEASE HELP
A normal work day for Carl is from 8:00 a.m. to 4:30 p.m. Carl wants to figure out the degree measure that the hour hand makes while he is at work. Carl believes that if he divides 360 by 12 and multiplies the result by 8.5 he will have the correct degrees the hour hand moves. Is Carl correct? If not, choose the appropriate explanation.
A
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B
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C
No, Carl is incorrect. The hour hand will go around the clock 360 degrees.

D
No, Carl is incorrect. He must first multiply 360 by 12 and then divide by 8.5.

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Run two separate regressions using the data in the sections of the spreadsheet titled Regression Model 1 and Regression Model 2. Use a 95% confidence level.
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Regression Model 2
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Plsss help me, ASAP, Thank you

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If no one minds I need help!

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(Let a represent a person's age and h represent the person's recommended heart rate.)
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2. The following equation represents the high value for heart rate. Simplify the equation.
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plsss help. giving extra points if correct.
i accidentally clicked A so don't think its the answer I wanted.

WILL GIVE BRAINLIEST .

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Select other ways to write 0.125

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