Continuity flashcards
6 practice cards drawn from the Continuity lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Continuity lessons in full →
The limit is 4 and f(2) is 4. Is f continuous at 2?
yes
from “Continuity at a Point”
The limit is 4 but f(2) is 7. Is f continuous at 2?
no
from “Continuity at a Point”
The left limit is 1 and the right limit is 4. Which kind of discontinuity?
jump
from “Types of Discontinuity”
The curve runs off to infinity along a vertical asymptote. Which kind of discontinuity?
infinite
from “Types of Discontinuity”
f(1) = 2 and f(2) = 6, and f is continuous. Must there be a root between?
no
from “The Intermediate Value Theorem”
f(0) = −1 and f(4) = 1, and f is continuous. Is there a root between?
yes
from “The Intermediate Value Theorem”