Calculus Break Jump VA POC

CONTINUOUS FUNCTIONS

(check all that apply)

TRIG FUNCTIONS

$$y=\tan\left(x\right)$$  and $$y=\csc\left(x\right)$$  

POLYNOMIAL FUNCTION

$$y=P\left(x\right)$$  

Continuous ?

Graph of P(x)

$$word1$$  , $$word2$$  , parts of $$word3$$  

Submit $$word1,word2,word3$$  

(no spaces) (small letters)

$$word1$$   $$word2$$  (singular)

$$word3$$  (plural)

(a)  

$$f\left(x\right)=\left|x-12\right|$$  

$$f\left(12\right)=A$$  

$$\lim_{x\ \rightarrow\ 12}f\left(x\right)=L$$  

Submit $$A,L$$  (no spaces)

(a)  

The graphs of which functions have at least one jump?

(check all that apply)

The graph of $$y=R\left(x\right)$$  has a vertical asymptote.

$$\lim_{x\ \rightarrow\ 6^{\ +}}\ \frac{\left|\ x-6\ \right|}{x-6}=R$$  

$$\lim_{x\ \rightarrow\ 6^{\ -}}\ \frac{\left|\ x-6\ \right|}{x-6}=L$$  

$$\lim_{x\ \rightarrow\ 6}\ \frac{\left|\ x-6\ \right|}{x-6}=A$$  

Submit $$R,L,A$$  (no spaces)

(a)  

The graph of $$y=R\left(x\right)$$  is continuous everywhere.

$$y=R\left(x\right)$$  

(check all that apply)