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Pie
3 years ago
8

Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

The range of the function is R=\{17, 5, 1\}.

Step-by-step explanation:

Let f(x) = -x^{3}+x^{2}+5. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:

x = -2

f(-2) = -(-2)^{3}+(-2)^{2}+5

f(-2) = 8+4+5

f(-2) = 17

x = -1

f(-1) = -(-1)^{3}+(-1)^{2}+5

f(-1) = 1-1+5

f(-1) = 5

x = 2

f(2) = -(2)^{3}+(2)^{2}+5

f(2) = -8+4+5

f(2) = 1

The range of the function is R=\{17, 5, 1\}.

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Read 2 more answers
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Answer:

  • BC = 4.8
  • ED = 1.1
  • DF = 1.6

Step-by-step explanation:

Since angles A and E correspond, as well as angles C and F, we can say ...

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Then the ratio of side lengths of ΔABC to those of ΔEDF is ...

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