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igomit [66]
3 years ago
8

What is the answer to this how to work it

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

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