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Aneli [31]
3 years ago
11

Find the piece wise function for the graph

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

x < 2   f(x) = |x|.

x ≥ 2   f(x) =  3.

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Step-by-step explanation:

x^{2} - 4x - 7 = 0

First, let's move the 7 to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:

x^{2} - 4x = 7

From here, since the coefficient of the x term is -4, we know the square will be (x - 2) (since -2 it's half of -4).

To complete this square, we will need to add (-2)^{2} to both sides of the equation:

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x^{2} - 4x + 4 = 7 + 4

(x - 2)^{2} = 11

Now we can take the square root of both sides to figure out the solutions to x:

x - 2 = \pm \sqrt{11}

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Step-by-step explanation:

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