Find the $x$-values (if any) at which the function
$f ( x ) = 13 x ^ { 2 } - 15 x - 15$ is not continuous. Which of the discontinuities are removable?
A) $x = 4$, removable
B) $x = 0$, removable
C) $x = \frac { 15 } { 26 }$, not removable.
D) continuous everywhere
E) $x = \frac { 15 } { 26 }$, removable.

Question

Find the $x$-values (if any) at which the function
$f ( x ) = 13 x ^ { 2 } - 15 x - 15$ is not continuous. Which of the discontinuities are removable? 
A) $x = 4$, removable
B) $x = 0$, removable
C) $x = \frac { 15 } { 26 }$, not removable.
D) continuous everywhere
E) $x = \frac { 15 } { 26 }$, removable.

Quizplus · Accepted Answer

The function $f(x) = 13x^2 - 15x - 15$ is a polynomial function. Polynomial functions are continuous everywhere on their domain, which is all real numbers. Therefore, there are no values of $x$ at which this function is not continuous, and there are no discontinuities, removable or otherwise.

Find The xxx -Values (If Any) at Which the Function f(x)=13x2−15x−15f ( x ) = 13 x ^ { 2 } - 15 x - 15f(x)=13x2−15x−15

Find The $x$ -Values (If Any) at Which the Function $f ( x ) = 13 x ^ { 2 } - 15 x - 15$