Think you’ve got your head wrapped around Functions, Graphs, and Limits? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Let
As x increases,
f(x) increases.
f(x) decreases.
f(x) increases if x < 0 and decreases if x > 0.
f(x) decreases if x < 0 and increases if x > 0.
Q. Let
As x approaches 2, f(x) approaches
2
3
-2
different numbers depending on whether x is approaching 2 from the right or from the left.
Q. The statement 
means
means f(a) = L
as x gets close to a, f(x) gets close to f(a)
as x gets close to a, f(x) gets close to L
as x gets close to a, f(a) gets close to L
Q. The function f(x) is graphed below.
Determine 
0
1
2
the limit does not exist
Q. The function f(x) is graphed below.
Determine 
0
1
2
the limit does not exist
Q. The function f(x) is graphed below.
Determine 
0
1
2
the limit does not exist
Q. Let
Find
2
7
12
-3
Q. Use the table to determine which is the best estimate for
25
3
3.1
The limit does not exist, since the left- and right-hand limits do not agree.
Q. Find
0
-1
We don't get a number that exists, since we can't divide by zero.
Q. Find
0
3
We don't get a number that exists, since we can't divide by zero.