use the following function rule to find ( f(2) ).\n( f(x)=-3|x|+3 )\n( f(2)= )

Explanation:

Step1: Substitute (x = 2) into the function

(f(2)=-3|2| + 3)

Step2: Calculate the absolute value

Since (|2|=2), the expression becomes (f(2)=-3\times2 + 3)

Step3: Perform the multiplication

(-3\times2=-6), so (f(2)=-6 + 3)

Step4: Perform the addition

(-6+3=-3)

Answer:

(-3)