Decide if the given function is continuous at the specified value of x. $$f ( x ) = \left\{ \begin{array} { r l }
x + 5 & \text { if } x

Question

Decide if the given function is continuous at the specified value of x. $$f ( x ) = \left\{ \begin{array} { r l } 
x + 5 & \text { if } x < 1 \
3 x + 3 & \text { if } x \geq 1
\end{array} ; \quad x = 1 \right.$$
A) Yes, the function is continuous at x = 1.
B) No, the function is not continuous at x = 1.

Quizplus · Accepted Answer

The function is continuous at x = 1 because the left-hand limit, right-hand limit, and the value of the function at x = 1 are all equal to 6.

Decide If the Given Function Is Continuous at the Specified f(x)={x+5 if x<13x+3 if x≥1;x=1f ( x ) = \left\{ \begin{array} { r l } x + 5 & \text { if } x < 1 \\3 x + 3 & \text { if } x \geq 1\end{array} ; \quad x = 1 \right.f(x)={x+53x+3​ if x<1 if x≥1​;x=1

Decide If the Given Function Is Continuous at the Specified $f ( x ) = \left\{ \begin{array} { r l } x + 5 & \text { if } x < 1 \\3 x + 3 & \text { if } x \geq 1\end{array} ; \quad x = 1 \right.$