Find the intervals on which the function is continuous.
-$$y = \frac { 2 } { x ^ { 2 } - 25 }$$
A) discontinuous only when $x = - 5$ or $x = 5$
B) discontinuous only when $x = - 5$
C) discontinuous only when $x = - 25$ or $x = 25$
D) discontinuous only when $x = 25$

Question

Quizplus · Accepted Answer

The function is discontinuous when the denominator is equal to zero, which is when $x = -5$ or $x = 5$. Thus, the intervals of continuity are all values of $x$ except for $x = -5$ and $x = 5$. Therefore, the correct choice is A.

Find the Intervals on Which the Function Is Continuous y=2x2−25y = \frac { 2 } { x ^ { 2 } - 25 }y=x2−252​

Find the Intervals on Which the Function Is Continuous $y = \frac { 2 } { x ^ { 2 } - 25 }$