Given-a-function-f-which-is-periodic-of-period-2-defined-by-f-x-3x-2-4-if-0-x-lt-3-x-3-if-3-x-lt-6-1-State-in-a-similar-manner-f-x-2-Check-if-f-is-continuous-3

Question Number 107452 by Rio Michael last updated on 10/Aug/20

Given a function f which is periodic of period 2 defined by

f (x) = {\begin{cases} 3 x^{2} - 4, if 0 ⩽ x < 3 \\ x - 3, if 3 ⩽ x < 6 \end{cases}

(1) State in a similar manner f^{'} (x) .

(2) Check if f is continuous .

(3) find f (7) and skech the curve y = f (x) .

Answered by 1549442205PVT last updated on 11/Aug/20

The periodic function f (x) of period T

is a function that satisfy

f (x) = f (x + T) \forall x \in D_{f} (D_{f} - the defined

domain of f (x)) . The above function

has no that property sir ?