1
Question
Graph of f(x) is given. Draw the graph of y=f({x})
Graph of f(x) is given. Draw the graph of y=f({x})
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Solution
The correct option is A
f({x})
We want to do the transformation
f(x)→ f({x})
f({0.3})=f({1.3})=f({2.3})=.......=f(0.3)
We notice that like the fractional part function f({x}) is also periodic with period 1.
So we will retain the graph for x ϵ [0,1] and repeat the same for other intervlas of unit length.
f({x})
We want to do the transformation
f(x)→ f({x})
f({0.3})=f({1.3})=f({2.3})=.......=f(0.3)
We notice that like the fractional part function f({x}) is also periodic with period 1.
So we will retain the graph for x ϵ [0,1] and repeat the same for other intervlas of unit length.