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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Functions, Graphs, and Limits: Fun Fun Functions Quiz

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



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.
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