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Evaluate the piecewise defined function at the indicated values.
f(x) =

9x if x < −1
x + 2 if −1 ≤ x ≤ 3
(x − 3)2 if x > 3
f(−5) =
f(−1) =
f(2) =
f(3) =
f(6) =

Evaluate the piecewise defined function at the indicated values fx 9x if x lt 1 x 2 if 1 x 3 x 32 if x gt 3 f5 f1 f2 f3 f6 class=

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sqdancefan

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Answer:

  -45, 1, 4, 5, 9

Explanation:

The first argument value, -5, is less than -1, so the first section of the function definition is used. f(-5) = 9(-5) = -45.

The 2nd to 5th argument values are in the interval [-1, 3], so the second section of the function definition is used.

The last argument value, 6, is greater than 3, so the last section of the function definition is used. f(6) = (6 -3)^2 = 9.

Function values are shown in the table attached.

Ver imagen sqdancefan