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Find f(4) for the given piecewise function.

A piecewise-defined function f(x) with three conditions: 3x - 4 if x ≤ -6, -9x + 2 if -6 < x < 6, and -3x + 4 if x ≥ 6. The task is to find f(4).

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Show Answer Key & Explanations Step-by-step solution for: IXL | Piecewise functions

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To find f(4), we need to determine which piece of the piecewise function applies when x = 4.

The function is defined as:
- f(x) = 3x - 4, if x ≤ -6
- f(x) = -9x + 2, if -6 < x < 6
- f(x) = -3x + 4, if x ≥ 6

Since 4 is greater than -6 and less than 6, it falls into the second interval: -6 < x < 6.

Therefore, we use the second piece of the function: f(x) = -9x + 2.

Now substitute x = 4 into this expression:
f(4) = -9(4) + 2
f(4) = -36 + 2
f(4) = -34

f(4) = -34

Parent Tip: Review the logic above to help your child master the concept of piecewise functions word problems worksheet.

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