# Answer to Question #19141 in Real Analysis for Matthew Lind

Question #19141

What are the points of continuity and the points of discontinuity of the following function? Justify your answer.

f(x) = x if x is rational.

f(x) = x^3 if x is irrational.

f(x) = x if x is rational.

f(x) = x^3 if x is irrational.

Expert's answer

This function has no points of continuity, because for each neighborhood of any point x0 there exist both rational and irrational points.

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment