1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of discontinuity of the function y(x) on [- 2, 2] satisfying x2 + y2 = 4 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of discontinuity of the function $y(x)$ on $[- 2$, $2]$ satisfying $x^2 + y^2 = 4$ is

Continuity and Differentiability

Solution:

Functions which satisfy the relation $x^2 + y^2 = 4$ are $y(x)=\sqrt{4-x^2}$ and $y(x)=-\sqrt{4-x^2}$.
And both functions are continuous in $[-2$, $2]$.