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uranmaximum [27]
3 years ago
7

-1 ≤ n+2 ≤ 6

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
-1 ≤ n + 2 ≤ 6
-2         - 2  + -3
-3      n/    0 

                 Answer = -3 , 4            Answer = C 
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Answer:

  D: all real numbers

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Step-by-step explanation:

The transformation ...

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For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

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Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

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As with all exponential functions, ...

  • the domain is "all real numbers"
  • the range is all numbers above the asymptote: f(x) > 0
  • the horizontal asymptote is f(x) = 0

The function is a growth function, so ...

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_____

<em>Additional comment</em>

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

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