Think you’ve got your head wrapped around Continuity of Functions? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q.
- Consider the following statements:
I. f(c) is defined
II. 
exists
III. 
We say "f is continuous at c" if which of the following statements hold?
I
II
I, II
I, II, III
Q. Which of the statements is true about the function f graphed below?
f is discontinuous at x = 1 because f(1) does not exist.
f is discontinuous at x = 1 because 
does not exist.
does not exist. f is discontinuous at x = 1 because 
f is continuous at x = 1.
Q. Let 
Identify all points at which f is discontinuous.
x = 0, x = 1
x = 1, x = 2
x = 0, x = 2
x = 0, x = 1, x = 2
Q. Identify all points at which f is discontinuous.
x = 1, x = -2
x = 1, x = 3
x = -2, x = 3
x = 1, x = -2, x = 3
Q. On which of the following intervals is f continuous?
(-1, 1)
(0, 3)
(2, 4)
(0, 4)
Q. On which of the following intervals is f discontinuous?
(-10, 2)
(2, 4)
(3, 4)
(3, 5)
Q. Let 
On which of the following intervals is f continuous?
(-2, 0)
(1, 5)
(4, 6)
(-1, 1)
Q. Let 
On which of the following intervals is f(x) continuous?
(-1, 1)
[0, 1)
(-1, 0]
[-1, 1]
Q. Let f(x) = x + 1 and g(x) = x – 1. Which of the following statements is false?
The function 
is continuous at x = 1.
is continuous at x = 1. The function 
is continuous at x = -1.
is continuous at x = -1. The function f + g is continuous at x = 1.
The function 
is continuous at x = 1.
is continuous at x = 1. Q. Which of the following functions is not continuous?
f(x) = ex
g(x) = sin(x)
h(x) = tan(x)
m(x) = x2 – 2x + 3