#### CHECK OUT SHMOOP'S FREE STUDY TOOLS: Essay Lab | Math Shack | Videos

# Functions, Graphs, and Limits

# Functions, Graphs, and Limits: Fun Fun Functions Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Functions, Graphs, and Limits**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.