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olganol [36]
3 years ago
6

F(x) = (x - 2)(x + 1)

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

The factors (x+1) cancel, leaving the function ...

  f(x) = x -2

This is an odd-degree function with a positive leading coefficient, so its graph has the general shape / (up to the right). The end behavior is ...

  • as x → ∞, y → ∞
  • as x → -∞, y → -∞

_____

<em>Additional comment</em>

The graph of this function is a straight line with a slope of 1 and a y-intercept of -2. It has a hole (removable discontinuity) at (-1, -3).

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Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

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* Lets talk about the transformation

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∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

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∴ g(x) translated 3 units to the right and then reflected about the

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∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

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∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

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