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f(x)={[-4x," for ",x < -1],[-x+1," for ",-1 <= x <= 3],[-2x+8," for ",x > 3]:} Find f(3) Answer:

f(x)={−4x for x<−1−x+1 for −1≤x≤3−2x+8 for x>3 f(x)=\left\{\begin{array}{lll} -4 x & \text { for } & x<-1 \\ -x+1 & \text { for } & -1 \leq x \leq 3 \\ -2 x+8 & \text { for } & x>3 \end{array}\right. \newlineFind f(3) f(3) \newlineAnswer:\newline

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Q. f(x)={−4x for x<−1−x+1 for −1≤x≤3−2x+8 for x>3 f(x)=\left\{\begin{array}{lll} -4 x & \text { for } & x<-1 \\ -x+1 & \text { for } & -1 \leq x \leq 3 \\ -2 x+8 & \text { for } & x>3 \end{array}\right. \newlineFind f(3) f(3) \newlineAnswer:\newline
  1. Identify Function Piece: Since 33 is within the range −1≤x≤3-1 \leq x \leq 3, we use the second piece of the function, which is f(x)=−x+1f(x) = -x + 1.
  2. Substitute x=3x = 3: Now we substitute x=3x = 3 into the function: f(3)=−(3)+1f(3) = -(3) + 1.
  3. Perform Calculation: Perform the calculation: f(3)=−3+1=−2f(3) = -3 + 1 = -2.

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