Question

Hey Mate

Suppose that f(x) is a periodic function with period 1/2 and that f(2)=5, f(9/4)=2, and f(11/8)=3. Evaluate f(1/4)& f(-5)

Please solve from Function
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Answer 1

f( 9/4) = 2

As period is 1/2

So f( 9/4 - n/2) = 2

Let's check if n is integer for

9/4 - n/2 = 1/4

n/2 = 1/2

n= 1

So here f(1/4) is 2



f(2) = 5

f( 2 - n/2) = 5

let's check for -5

2 - n/2 = -5

n/2 = 7

n= 14

So f(-5) = 5