Question

if the function fx is defined on the interval [-2,2] as f(x)= {1;-2≤x≤1 ,x-2;-1<x< ,4-x;1≤x≤2 } find the number of solutions of the equation {f(x)}-1/2 where {x} denotes fractional part of x​

Answer 1

Answer:

If the function f(x) is continuous in the interval [−2,2], find the values of a and b where

f(x)=

⎩

⎪

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎪

⎧

x

sinax

−2for−2≤x<0

2x+1for0≤x≤1

2b

x

2

+3

−1for1<x≤2