The function (f : F to R)
= (f(x) = begin{cases} 3x + 2 : x > 4 \ 3x – 2 : x = 4 \ 5x – 3 : x < 4 end{cases}). Find f(4) – f(-3).
-
A.
28 -
B.
26 -
C.
-26 -
D.
-28
Correct Answer: Option A
Explanation
(f(4) = 3(4) – 2 = 12 – 2 = 10)
(f(-3) = 5(-3) – 3 = -15 – 3 = -18)
(f(4) – f(-3) = 10 – (-18) = 28)