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Math Asked by a SnapAndSolve user · about 1 hour ago

Express the function graphed on the axes below as a piecewise function.

Express the function graphed on the axes below as a piecewise function.

Answer

The piecewise function can be expressed as follows:

For the left segment: The line passes through points (-9, 9) and (-3, 3). The slope (m) is (3 - 9) / (-3 + 9) = -1. The equation is y = -x - 9 for x ≤ -3.
For the right segment: The line passes through points (2, 8) and (9, 1). The slope (m) is (1 - 8) / (9 - 2) = -1. The equation is y = -x + 10 for x > 2.

Therefore, the piecewise function is:

f(x) = {
-x - 9, for x ≤ -3
-x + 10, for x > 2
}

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