Question #ac14c

2 Answers
Oct 25, 2017

I think I understand your question. Please see below.

Explanation:

#[1,5[# = the set of all #x# with #1 <= x < 5#.
Another notation is #[1,5)#

#[2,3] = {x|2 <= x <= 3}#

#]4,9] = {x|4 < x <= 3c}#
Another notation is #(4,9]#

Oct 25, 2017

See below

Explanation:

It means that the interval of a graph (also known as an domain of an graph)

#[0, pi/2]#

graph{sin(x) [-10, 10, -5, 5]}

which means the domain of the interval of #sin(0)# to #sin(pi/2)#

its also really important if you want to find the area under a function like #f(x) = e^x#

graph{e^x [-10, 10, -5, 5]}

say i wanted to find the area under the curve from the interval #[0, 1]#

you need to find it using an definite integral #int_0^1 e^xdx#

which would be #e^0+e^1#

#= e - 1#

#= 1.73#