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prohojiy [21]
3 years ago
13

What is the maximum number of turns in the graph of this function?

Mathematics
2 answers:
drek231 [11]3 years ago
4 0

Answer:

The maximum number of turns is 3

Step-by-step explanation:

The given function is

f(x)=x^4-x^3+3x+1

The degree of this polynomial is 4.

If the degree of a given polynomial is n, then the polynomial has at least n-1 turns.

Therefore the number of turns of this 4th degree polynomial is at least 3.

ryzh [129]3 years ago
4 0

Answer:

Like the other guy said, the answer is 3

Step-by-step explanation:

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Given parameters:

     y varies directly as w;

   This interpreted implies that as y increases, we increases by a certain factor or amount;

    So,  y ∝  w

           y  = kw

   where k is the constant of proportionality

Now, given that y  = 8 and w = 2

Input in the equation to solve for k;

               8 = k x 2

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          if v is directly proportional to w;

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Step-by-step explanation:

f(3) =  {(3)}^{2}  + 3(3) - 7 = 9 + 9 - 7 \\  = 18 -  7 = 11

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Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .
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Answer:

  • check below for explanation.

explanation:

➢ Given coordinates:

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  • C( 4, 6 )
  • D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

  • A( 1, 3 )  ÷  2    ☛   A'(0.5,1.5)  
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