Q. f(x)=⎩⎨⎧−42x−72x−7 for for for x<22≤x<7x≥7Find f(2)Answer:
Identify Piece for x=2: Identify the correct piece of the piecewise function to use for x=2. The function f(x) is defined by different expressions depending on the value of x. We need to determine which expression applies when x=2. f(x)={−4amp;for xlt;2,2x−7amp;for 2≤xlt;7,2x−7amp;for x≥7 Since x=2 falls into the second category (2 \leq x < 7), we will use the expression 2x−7 to find f(2).
Calculate f(2) Value: Calculate the value of f(2) using the correct expression.We will substitute x with 2 in the expression 2x−7.f(2)=2(2)−7f(2)=4−7f(2)=−3