If a function f: R → R be defined by
Find: f(1), f(–1), f(0), f(2).
Given
We need to find f(1), f(–1), f(0) and f(2).
When x > 0, f(x) = 4x + 1
Substituting x = 1 in the above equation, we get
f(1) = 4(1) + 1
⇒ f(1) = 4 + 1
∴ f(1) = 5
When x < 0, f(x) = 3x – 2
Substituting x = –1 in the above equation, we get
f(–1) = 3(–1) – 2
⇒ f(–1) = –3 – 2
∴ f(–1) = –5
When x = 0, f(x) = 1
∴ f(0) = 1
When x > 0, f(x) = 4x + 1
Substituting x = 2 in the above equation, we get
f(2) = 4(2) + 1
⇒ f(2) = 8 + 1
∴ f(2) = 9
Thus, f(1) = 5, f(–1) = –5, f(0) = 1 and f(2) = 9.