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Len [333]
3 years ago
9

What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

10x^9 - 4x? As x-> - infinity then y -> infinity and as x-> infinity then y -> infinity.

Step-by-step explanation:

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Which rule yields the dilation of the figure KLMN centered at the origin?
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Answer:

The rule of dilation centered at the origin is (x , y) → (2x , 2y) ⇒ answer A

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- The dilation rule for any point (x , y) is (kx , ky), where k is the

  factor of dilation centered at origin

* Now lets solve the problem

- The figure KLMN has for vertices:

  K (3 , -3) , L (3 , 4) , M (5 , 4) , N (5 , -3) ⇒ (1)

- The image K'L'M'N' of figure KLMN after dilation about the origin

  has four vertices:

   K' (6 , -6) , L' (6 , 8) , M' (10 , 8) , N' (10 , -6) ⇒ (2)

- From (1) and (2)

# (3 , -3) ⇒ (6 , -6)

# (3 , 4) ⇒ (6 , 8)

# (5 , 4) ⇒ (10 , 8)

# (5 , -3) ⇒ (10 , -6)

- Each point in KLMN multiplied by 2

∴ The scale of dilation is 2

∴ The rule of dilation centered at the origin is (x , y) → (2x , 2y)

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3 years ago
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