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svetlana [45]
2 years ago
15

Question

Mathematics
1 answer:
mixer [17]2 years ago
5 0

The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

#SPJ1

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Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x
solmaris [256]

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Explanation:

To find a relationship modeled by the given function it is recommendable to factor it.

The function is:

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The first step to factor it is to extract common factor 4x:

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The second step is to factor the quadratic trinomial.

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Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.

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  • x - 8 is 8 less than the desired length

Thus, the volume of the prism is the product of the three factors:

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