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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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