Question: a. Use the fact that every nonempty interval of real numbers contains both rational and irrational numbers to show that the function is discontinuous at

a. Use the fact that every nonempty interval of real numbers contains both rational and irrational numbers to show that the function f(x)= = [1, 0, if x is rational if x is irrational

is discontinuous at every point.

b. Is ƒ right-continuous or left-continuous at any point?

f(x)= = [1, 0, if x is rational if x is irrational

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