Question

Find the intervals on which each function is continuous. You may use the provided graph to sketch the function.

Answer 1

from wikipedia: In mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be a "discontinuous function".

Answer 2

so look for where small changes in input result in large changes in output. everywhere except these places the function will be continuous.

Answer 3

look for where there are huge discontinuities.

like wholes in the line or a break on the line.

Answer 4

its a little blurry to me

but when it is a solid dot it means inclussion and you use [] Otherwise a circle meand exclussiong and you use ()

Answer 5

My answer was (-infinity,2),[2,infinity)

Answer 6

is the problem blurry too?

Answer 7

I can see it clearly
where is the break on the line?

Answer 8

i put the break at (2,-10)

Answer 9

where there is a break there is a discontinuity.

Answer 10

sorry, i put at (2,-6)

Answer 11

the point doesn't matter, just the x-coordinate

Answer 12

2? that's the break right?

Answer 13

yes

Answer 14

Ok thank you xD