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k0ka [10]
2 years ago
5

Examine the following piecewise function.

Mathematics
1 answer:
miss Akunina [59]2 years ago
3 0

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

<h3>Which statements are true?</h3>

We know that our function is made of straight lines that connect:

  • Point (-8, 3) with (-2, 8)   {This is an increasing line}
  • Point (-2, 8) with (2, 8)   {This is a horizontal line}
  • Point (3, 0), and (7, -7)   {This is a decreasing line}

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

If you want to learn more about piecewise functions, you can read:

brainly.com/question/3628123

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A. (2, 5)

Step-by-step explanation:

If B and B' have symmetry, then P is a midpoint between those points. We can determinate the location of point P by using the midpoint equation, whose vectorial form is:

P(x,y) = \frac{1}{2}\cdot B(x,y)+\frac{1}{2}\cdot B'(x,y) (Eq. 1)

If we know that B(x,y) = (2,8) and B'(x,y) = (2,2), then the location of P is:

P(x,y) = \frac{1}{2}\cdot (2,8)+\frac{1}{2}\cdot (2,2)

P(x,y) = (1, 4)+(1,1)

P(x,y) = (2, 5)

Which corresponds to option A.

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An atom of a certain element has 37 protons, 37 electrons, and a mass number of 85. How many neutrons are
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Step-by-step explanation:

Hope this helps and have a great day :)

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