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PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?

PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?-example-1
User Ramdroid
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1 Answer

6 votes

Answer: see below

Explanation:

Write each equation in y = mx + b format where m is the slope and b is the y-intercept.

Left side: -4 ≤ x < -1

If you continue the line through the y-axis it will pass through (0, 4) --> b = 4

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (4) --> y = -x + 4

Right side: -1 < x < 4

The line passes through (0,0) --> b = 0.

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (0) --> y = -x


\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&amp;;-4\leq x<-1\\ -x&amp;;-1<x<4 \end{array}}

User Sudhanshu Gaur
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