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Question

Is the function, f(x) = min {x,x2} ᵿx ϵ R continuous?


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Solution

(A) Lets plot the graph of f(x) = x and g(x) = x2

h(x) = x

g(x) = x2

⇒f(x) ⇒


As we see not dis continuity in f(x)
The function is continuous


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