Problem Set - Where is a Function Continuous?

## Problem Set - Where is a Function Continuous?

 For which values of $x$ is the function $f\left(x\right)={x}^{2}+3x+4$ contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Determine the value of $k$ for which the function contunuous at $x=0$. Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Determine the value of $a$ for which the function contunuous at $x=2$. Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function $f\left(x\right)=2x-\left|x\right|$ contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Find the value of $a$ for which the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For which values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Explain how you know $f\left(x\right)=\mathrm{cos}x$ is continuous for all values of $x$. Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Explain how you know $f\left(x\right)=\mathrm{cos}\left|x\right|$ is continuous for all values of $x$. Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. Explain how you know $f\left(x\right)=⌊x⌋$ is continuous for all values of $x$. Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For what values of $x$ is the function contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer. For what values of $x$ is the function , contunuous? Justiffy your answer with limits if necessary and draw a graph of the function to illustrate your answer.