Question

I don’t understand why I got my answer wrong

Answer 1

The correct function that has been represented on the graph is,

f(x) = { 2 if -1 < x ≤ 2 as the values of f(x) for the other two parts, -6 ≤ x ≤ -1 and 2 ∠ x ≤ 6 are (2x+17)/5 and (16-7x)/2 respectively.

This can be broken into three parts :

1. -6 ≤ x ≤ -1
2. -1 ∠ x ≤ 2
3. 2 ∠ x ≤ 6

• In the first fragment two clearly visible points are (-1,3) and (-6,1). Thus the straight line can be easily drawn with equation $\frac{y-3}{x+1} = \frac{3-1}{-1+6}$

   y-3/x+1 = 2/5

  5y -15 = 2x +2

  2x - 5y = -17

• The second part is quite clear, the equation is y =2 (straight line parallel to x - axis)

• The third part two clearly visible points are (2,1) and (4,-6). Thus the straight line can be easily drawn with equation $\frac{y-1}{x-2} = \frac{1+6}{2-4}$

 y-1/x-2 = -7/2

 2y -2 = -7x + 14

2y + 7x = 16

Thus function becomes

• 2x - 5y = -17 for -6 ≤ x ≤ -1
• y =2 for -1 ∠ x ≤ 2

• 2y + 7x = 16 for 2 ∠ x≤ 6

Learn more about Straight lines  here :

https://brainly.com/question/20492082

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