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Write a piecewise function

Write a piecewise function-example-1

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Answer:

The answer to your question is:

f(x) = - x - 4 if (-∞, -3)

2x + 6 if [-3, ∞)

Explanation:

Find the equations of the two lines

Blue line

A (-4, 1)

B (-6, 3)

m = (3 - 1) / (-6 + 4)

m = 2 / -2

m = -1

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

y - 1 = -x - 4

y = - x - 4 + 1

y = - x - 4 Interval (-∞, -3)

Red line

C(-2, 2)

D(0, 6)

m = (6 - 2) / 0 + 2)

m = 4 / 2

m = 2

(y - 2) = 2(x + 2)

y - 2 = 2x + 4

y = 2x + 4 + 2

y = 2x + 6 Interval [-3, ∞)

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