For the piecewise linear fuction, find (a) f(-3), (b) f(-1), (c) f(0), (d) f(2), and (e) f(4)
f(x)= 2x if x ≤ -1
x-1 if x > -1
(a) f(-3)=
(b) f(-1)=
(c) f(0)=
(d) f(2)=
(e) f(4)=
Thank You
f(x) = 2x if x ≤ -1
x-1 if x > -1
(a) Here, x is -3, and -3 ≤ -1 , so use the top choice: f(x) = 2x
Replace " x " with -3
f(-3) = 2(-3)
f(-3) = -6
(b) Here, x is -1, and -1 ≤ -1 , so use the top choice: f(x) = 2x
Replace " x " with -1
f(-1) = 2(-1)
f(-1) = -2
(c) Here, x is 0, and 0 > -1 , so use the bottom choice: f(x) = x - 1
Replace " x " with 0
f(0) = 0 - 1
f(0) = -1
(d) Here, x is 2, and 2 > -1 , so use the bottom choice: f(x) = x - 1
Replace " x " with 2
f(2) = 2 - 1
f(2) = 1
...
Can you do the last one now?