Q. f(x)=⎩⎨⎧x−1−24 for for for −2≤x<3x=3x>3Find f(4)Answer:
Determine Input for Function: We need to determine which part of the piecewise function applies to the input x=4.f(x) is defined as follows:- f(x)=x−1 for -2 \leq x < 3- f(x)=−2 for x=3- f(x)=4 for x > 3Since 4 is greater than 3, we use the third part of the function.
Apply Third Part of Function: Now we apply the third part of the function to find f(4).f(4)=4, because the function value is defined as 4 for any x that is greater than 3.