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Volgvan
3 years ago
14

Write a piecewise function

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0

Answer:

The answer to your question is:

        f(x) =        - x - 4          if   (-∞, -3)

                       2x + 6          if     [-3, ∞)

Step-by-step 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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