Question

For the piecewise function, find the specified function value

if xs1,
(2x-4, if x > 1
f (x) = (-5,
a) Find f(1) =
(1) b) Find f(5) =
(1)

Answer 1

f(1) = - 5, f(5) = 6

Explanation:

(a)

f(1) with x = 1 is in the interval x ≤ 1 , thus

f(1) = - 5

(b)

f(5) with x = 5 is in the interval x > 1 , thus f(x) = 2x - 4 , so

f(5) = 2(5) - 4 = 10 - 4 = 6