Limits from Graphs

Question 1

The figure shows the graph of w. What is _x 0 w(x)?

Accepted Answer

1

Answer

-4

Answer

2

Answer

does not exist

Question 2

The figure shows the graph of p. Which statement about p at x = 1 is correct?

Accepted Answer

_x 1 p(x) = -3 and p(1) = -6

Answer

_x 1 p(x) = -6 and p(1) = -3

Answer

_x 1 p(x) does not exist and p(1) = -6

Answer

_x 1 p(x) = -3 and p(1) is undefined

Question 3

The figure shows the graph of u flattening toward a dashed horizontal line as x increases. What is _x u(x)?

Accepted Answer

1

Answer

0

Answer

-1

Answer

Question 4

The figure shows the graph of s. What is _x 1 s(x)?

Accepted Answer

0

Answer

-3

Answer

2

Answer

does not exist

Question 5

The figure shows the graph of u. Which statement about u at x = 3 is correct?

Accepted Answer

_x 3 u(x) = 3 and u(3) = 0

Answer

_x 3 u(x) = 0 and u(3) = 3

Answer

_x 3 u(x) does not exist and u(3) = 0

Answer

_x 3 u(x) = 3 and u(3) is undefined

Question 6

The figure shows the graph of r. What is _x 2^- r(x)?

Accepted Answer

4

Answer

-2

Answer

2

Answer

does not exist

Question 7

The figure shows the graph of f flattening toward a dashed horizontal line as x increases. What is _x f(x)?

Accepted Answer

2

Answer

0

Answer

-2

Answer

Question 8

The figure shows the graph of q. What is _x -1 q(x)?

Accepted Answer

It does not exist, because the left-hand limit is -1 and the right-hand limit is 1

Answer

It equals 0, the average of the two one-sided limits

Answer

It equals 1, because that is the right-hand limit

Answer

It equals -1, because that is the left-hand limit

Question 9

The figure shows the graph of w. Which statement about w at x = 0 is correct?

Accepted Answer

_x 0 w(x) = 1 and w(0) = -2

Answer

_x 0 w(x) = -2 and w(0) = 1

Answer

_x 0 w(x) does not exist and w(0) = -2

Answer

_x 0 w(x) = 1 and w(0) is undefined

Question 10

The figure shows the graph of u. What is _x -1^+ u(x)?

Accepted Answer

2

Answer

5

Answer

-1

Answer

does not exist

Question 11

The figure shows the graph of q flattening toward a dashed horizontal line as x increases. What is _x q(x)?

Accepted Answer

-3

Answer

0

Answer

3

Answer

Question 12

The figure shows the graph of v. What is _x 0 v(x)?

Accepted Answer

It does not exist, because the left-hand limit is 0 and the right-hand limit is -4

Answer

It equals -2, the average of the two one-sided limits

Answer

It equals -4, because that is the right-hand limit

Answer

It equals 0, because that is the left-hand limit

Question 13

The figure shows the graph of g. What is _x 2^- g(x)?

Accepted Answer

-6

Answer

4

Answer

2

Answer

does not exist

Question 14

The figure shows the graph of p. What is _x 0 p(x)?

Accepted Answer

-1

Answer

2

Answer

1

Answer

does not exist

Question 15

The figure shows the graph of g. What is _x 3^+ g(x)?

Accepted Answer

5

Answer

4

Answer

3

Answer

does not exist

Question 16

The figure shows the graph of g. What is _x 2 g(x)?

Accepted Answer

It does not exist, because the left-hand limit is 4 and the right-hand limit is 2

Answer

It equals 3, the average of the two one-sided limits

Answer

It equals 2, because that is the right-hand limit

Answer

It equals 4, because that is the left-hand limit

Question 17

The figure shows the graph of s. What is _x 4 s(x)?

Accepted Answer

-2

Answer

3

Answer

-3

Answer

does not exist

Question 18

The figure shows the graph of p. What is _x 2 p(x)?

Accepted Answer

-4

Answer

-1

Answer

-6

Answer

does not exist

Question 19

The figure shows the graph of r. What is _x -1^+ r(x)?

Accepted Answer

0

Answer

-2

Answer

-1

Answer

does not exist

Question 20

The figure shows the graph of f. What is _x 1^- f(x)?

Accepted Answer

6

Answer

3

Answer

1

Answer

does not exist

Question 21

The figure shows the graph of p. What is _x 2 p(x)?

Accepted Answer

It does not exist, because the left-hand limit is -2 and the right-hand limit is -1

Answer

It equals -1, because that is the right-hand limit

Answer

It equals -2, because that is the left-hand limit

Answer

It equals 2, the value the inputs approach

Question 22

The figure shows the graph of p. Which statement about p at x = -2 is correct?

Accepted Answer

_x -2 p(x) = -4 and p(-2) = 1

Answer

_x -2 p(x) = 1 and p(-2) = -4

Answer

_x -2 p(x) does not exist and p(-2) = 1

Answer

_x -2 p(x) = -4 and p(-2) is undefined

Question 23

The figure shows the graph of v, which has a vertical asymptote at x = -3. What is _x -3^+ v(x)?

Accepted Answer

-

Answer

Answer

-3

Answer

does not exist

Question 24

The figure shows the graph of u. What is _x 0^+ u(x)?

Accepted Answer

3

Answer

6

Answer

0

Answer

does not exist

Question 25

The figure shows the graph of v. What is _x 3 v(x)?

Accepted Answer

1

Answer

-4

Answer

2

Answer

does not exist

Question 26

The figure shows the graph of f. What is _x 0 f(x)?

Accepted Answer

It does not exist, because the left-hand limit is 5 and the right-hand limit is 2

Answer

It equals 2, because that is the right-hand limit

Answer

It equals 5, because that is the left-hand limit

Answer

It equals 0, the value the inputs approach

Question 27

The figure shows the graph of w. Which statement about w at x = -2 is correct?

Accepted Answer

_x -2 w(x) = 2 and w(-2) = -3

Answer

_x -2 w(x) = -3 and w(-2) = 2

Answer

_x -2 w(x) does not exist and w(-2) = -3

Answer

_x -2 w(x) = 2 and w(-2) is undefined

Question 28

The figure shows the graph of f. What is _x 1 f(x)?

Accepted Answer

-3

Answer

-6

Answer

-5

Answer

does not exist

Question 29

The figure shows the graph of s, which has a vertical asymptote at x = 3. What is _x 3^- s(x)?

Accepted Answer

-

Answer

Answer

3

Answer

does not exist

Question 30

The figure shows the graph of v, which has a vertical asymptote at x = -3. What is _x -3^+ v(x)?

Accepted Answer

Answer

-

Answer

-3

Answer

does not exist

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Limits from Graphs

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner

Limits from Graphs

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

Mystery Auction

Tour Guide

Food Truck Rush

Tug of War

Alien Blast

Glacier Rush

Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner