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Use the following function rule to find f(4)f(4).\newlinef(x)=−5∣x−7∣f(x) = -5|x - 7|\newlinef(4)=f(4) = _____

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Full solution

Q. Use the following function rule to find f(4)f(4).\newlinef(x)=−5∣x−7∣f(x) = -5|x - 7|\newlinef(4)=f(4) = _____
  1. Substitute xx with 44: Substitute xx with 44 in the function rule.f(4)=−5∣4−7∣f(4) = -5|4 - 7|
  2. Calculate absolute value: Calculate the value inside the absolute value.\newline∣4−7∣=∣−3∣=3|4 - 7| = |-3| = 3
  3. Substitute back into function: Substitute back into the function.\newlinef(4)=−5∣3∣=−5×3=−15f(4) = -5|3| = -5 \times 3 = -15

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