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marshall27 [118]
2 years ago
8

Can someone help me out with this?

Mathematics
1 answer:
dexar [7]2 years ago
4 0

Answer:

  • -7.5x -12.5, x < -1
  • 7.5x +2.5, x ≥ -1

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

<u>for (x+1) < 0</u>

  y = -7.5(x +1) -5 = -7.5x -12.5

<u>for (x+1) ≥ 0</u>

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  y=\begin{cases}-7.5x-12.5,&\text{if }x

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  • Option A

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<u>Find zeros first:</u>

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2 years ago
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Answer:

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