Question

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

• A. $0$
• B. $1$
• C. $2$
• D. $>2$

Answer 1

Answer: (A)

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 $[-2$, $2]$.