continuity - a start

this graph is ...

• continuous

• not continuous

this graph is ...

• continuous at x = -1

• discontinuous at x = -1

the graph of  $f\left(x\right)=\frac{3}{x-4}+2$            is continuous ... 

• for all x-values

• for  $x\ne4$  

• for  $x\ne2$  

• at  $x=3$  only

the graph of  $g\left(x\right)=x^2-3$    is ... 

• continuous for all x-values

• discontinuous at  $x=0$  

• discontinuous at  $x=-3$  

at  $x=2$  , this graph is ... 

• continuous

• not continuous

this graph ...

• has a removable discontinuity

• is continuous

• is not continuous

choose the graph with a removable discontinuity

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the graph of $y=\frac{1}{\left(x+2\right)^2}$  is

• continuous because of the even exponent 

• not continuous because of a vertical asymptote

the graph of  $f\left(x\right)=2^x$  is

• a continuous exponential function 

• not continuous because of the horizontal asymptote 

 $f\left(x\right)=\frac{\left(x^2+1\right)\left(x-2\right)}{\left(x-2\right)}$  

• is continuous for all x-values

• is discontinuous because of a hole

• isn't a function

• is a line