Which option describes the left and right continuity of f(x) at x = 2? f(x) = {(x^3 + 1)^1/2 if 0

Question

Which option describes the left and right continuity of f(x) at x = 2?

f(x) = {(x^3 + 1)^1/2     if 0 < x <= 2
         { x + 1                  if x > 2

love_to_love_you · Answer

only continuous from the right
only continuous from the left
continuous from both left and right
continuous from neither

sunnnystrong · Answer

If:$$f(x)=\left\{\sqrt{ x^3+1} \right\} $$
for x in the interval (0.2]
&
$$f(x)=\left\{x+1 \right\} $$
for x in the interval
(2, infinity)
Than you can evaluate what happens to f(x) to the left & right of 2

sunnnystrong · Answer

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIoeF4oMykrMSleKDEvMikiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjMsImVxIjpbWyIyIiwiMyJdXSwiY29sb3IiOiIjQTgyODI4In0seyJ0eXBlIjozLCJlcSI6W1siMiIsIjMiXV0sImNvbG9yIjoiIzU1MUVDQyJ9LHsidHlwZSI6MCwiZXEiOiJ4KzEiLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItMTYuODE2NDA2MjQ5OTk5OTkzIiwiMTQuOTIxODc0OTk5OTk5OTk1IiwiLTQuNzY1NjI0OTk5OTk5OTk4IiwiMTQuNzY1NjI0OTk5OTk5OTk1Il19XQ-- Heres a graph ^

sunnnystrong · Answer

is each equation continuous to the left & right of 2? @love_to_love_you

love_to_love_you · Answer

I think so