Question

What is another way to determine the continuity of a function without drawing it on a graph, are they any tips/tricks?

Answer 1

test points?

Answer 2

>Epsilon delta

Answer 3

limits

Answer 4

http://en.wikipedia.org/wiki/Epsilon-delta

Answer 5

an example would be nice. but pretty much any function that you know the formula for is continuous on its domain

Answer 6

that is if you can write
\[f(x)=\text{expression}\] than the function will be continuous on its domain.

Answer 7

*then

Answer 8

not so if you describe it in words, or if you write a piecewise function obviously.

Answer 9

which boils down to this for a "trick" usually if you are asked for what values is the function continuous, you are really being asked for the domain. if you are given a piecewise function, then you have to check at the endpoints for where the functions changes expression.

Answer 10

use the distributive property to simplify the expression 7(-5x+7)