find f(-5) in this piecewise function.\nx ≤ -2, y = -4x - 5\nx > -2, y = (1/2)x + 4\nf(-5) = ?

find f(-5) in this piecewise function.\nx ≤ -2, y = -4x - 5\nx > -2, y = (1/2)x + 4\nf(-5) = ?

find f(-5) in this piecewise function.\nx ≤ -2, y = -4x - 5\nx > -2, y = (1/2)x + 4\nf(-5) = ?

Answer

Explanation:

Step1: Determine the applicable piece

Check if ( -5 \leq -2 ). Since ( -5 < -2 ), use ( y = -4x - 5 ).

Step2: Substitute ( x = -5 )

Substitute ( x = -5 ) into ( y = -4x - 5 ):
( y = -4(-5) - 5 )
( y = 20 - 5 )
( y = 15 )

Answer:

( 15 )