Questions: Let f(x) be defined as follows: - 2x + 7 if x < 5 - 42 - 5x if x > 5 - 15 if x = 5 Determine whether f(x) is continuous at x=5. If f(x) is not continuous, identify why. - Not continuous: The limit of f(x) as x approaches 5 does not exist. - Not continuous: f(5) is undefined. - Not continuous: The limit of f(x) as x approaches 5 is not equal to f(5). - The function is continuous at x=5.

Transcript text: Let $f(x)=\left\{\begin{array}{ll}2 x+7 & \text { if } x<5 \\ 42-5 x & \text { if } x>5 \\ 15 & \text { if } x=5\end{array}\right.$ Determine whether $f(x)$ is continuous at $x=5$. If $f(x)$ is not continuous, identify why. Not continuous: $\lim _{x \rightarrow 5} f(x)$ does not exist. Not continuous: $f(5)$ is undefined. Not continuous: $\lim _{x \rightarrow 5} f(x) \neq f(5)$. The function is continuous at $x=5$. Check Answer Submit and End