Question

Define f(x)= x-4, 1≤x<2
1/x-3, 2≤x<5
-x+5.5, 5≤x
where on the interval [1,4] is f discontinuous?

Answer 1

This will help a lot if you graphed the functions. They are fairly basic to where you can approximate what the graph looks like. Try it.

Answer 2

idk how to graph this:/

Answer 3

first one: x is a line shifted down by 4 units.
second one:
third one is also a negative line shifted UP by 5.5 units.

Answer 4

If you cannot graph them or struggle, you can always pick a few numbers :-)

Answer 5

but idk what it means by interval [1,4]?

Answer 6

a function is discontinuous if there is a jump in the graph an asymptote or a break in the graph

Answer 7

an asymptote would be x=3 right?