find f(4) in this piecewise function.\nx < 3, y = -\\frac{1}{3}x + 2\nx \\geq 3, y = 2x - 5\nf(4) = ?

Explanation:

Step1: Determine the applicable piece

Check if ( x = 4 ) satisfies ( x < 3 ) or ( x \geq 3 ). Since ( 4 \geq 3 ), we use ( y = 2x - 5 ).

Step2: Substitute ( x = 4 ) into the function

Substitute ( x = 4 ) into ( y = 2x - 5 ): ( y = 2(4) - 5 ).

Step3: Calculate the result

Calculate ( 2(4) - 5 = 8 - 5 = 3 ).

Answer:

( 3 )