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IceJOKER [234]
3 years ago
10

Suppose that the function f is defined for all real numbers as follows.

Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

  • see the graph below
  • the function is NOT continuous

Step-by-step explanation:

First of all, the problem statement is incorrect in its description of the function as being defined for all real numbers. It is not defined for numbers less than -4.

__

The graph is shown in the attachment. There is a discontinuity at x=4, so the function is not continuous.

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Factor completely. x^3-8x^2-2x+16
amm1812

Step-by-step explanation:

{x}^{3 }  - 8 {x}^{2}  - 2x + 16 \\  =  {x}^{2} (x - 8) - 2(x - 8) \\  = (x - 8)( {x}^{2}  - 2) \\  = (x - 8)( {x}^{2}  -  { \sqrt{2} }^{2} )  \\  = (x - 8)(x +  \sqrt{2} )(x -  \sqrt{2} )

8 0
4 years ago
Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = –3 and x
Effectus [21]
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way. 

For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.

For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
7 0
3 years ago
A car moves from postion 50m south of the library to new position 250m north of the library this movement takes 15 seconds what
Katen [24]
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4 0
3 years ago
Read 2 more answers
Can you please help me​
Dmitry_Shevchenko [17]

Answer:

55 degrees

Step-by-step explanation:

angle adds up to 360. your equation would be 360 = 2(125) + 2(angleN)

7 0
3 years ago
M=1.33333(N+20). If N=16,find M<br><br>​
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Answer:

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Step-by-step explanation:

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=47.99988

8 0
4 years ago
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