Q. f(x)=⎩⎨⎧−52−(x−4)2+5 for for for x<3x=3x>3Find f(2)Answer:
Identify x value: Since we are looking for f(2), we need to determine which piece of the piecewise function applies when x=2.
Determine applicable piece: The function f(x) is defined as −5 for x < 3. Since 2 is less than 3, we use the first piece of the function, which is f(x)=−5.