Answer:Answer:
f(-2) = 2
f(0) = 3
f (4) = -1
Step-by-step explanation:
The equation of the straight line passing through the points (0,3) and (-4,1) is
⇒ 2(y - 1) = x + 4
⇒ 2y - 2 = x + 4
⇒ 2y = x + 6
⇒
Again, the equation of the line passing through the points (0,1) and (4,-1) is
⇒ - 2 ( y + 1) = x - 4
⇒ - 2y = x - 2
⇒
Therefore, the function is defined as
for x ≤ 0 ........... (1) and
for x > 0 ............ (2)
Therefore, f(-2) = 2 from equation (1).
f(0) = 3 from equation (1)
And f (4) = -1 from equation (2). (Answer)
Step-by-step explanation:
