Free Printable 12.1 Graphical Limits

1.

$\lim_{x\rightarrow1}f\left(x\right)\ =$ ____

a)

-1

b)

2

c)

DNE

d)

-5

2.

$\lim_{x\rightarrow2^+\ }f\left(x\right)\ =$ ____

a)

8

b)

2

c)

DNE

d)

-3

3.

$\lim_{x\ \rightarrow\ 6}f\left(x\right)\ =$ ____

a)

0

b)

-5

c)

DNE

d)

6

4.

$\lim_{x\ \rightarrow\ 8\ }f\left(x\right)\ =$ ____

a)

∞

b)

4

c)

DNE

d)

-1

5.

$\lim_{x\ \rightarrow\ 9\ }f\left(x\right)\ =$ ____

a)

∞

b)

1

c)

DNE

d)

0

6.

$\lim_{x\ \rightarrow\ -2\ }f\left(x\right)\ =$ ____

a)

4

b)

2

c)

DNE

d)

undefined

7.

$\lim_{x\ \rightarrow\ -5\ }f\left(x\right)\ =$ ____

a)

3

b)

1

c)

DNE

d)

undefined

e)

-3.5

8.

$f\left(8\right)\ =\$ ____

a)

- ∞

b)

∞

c)

undefined

d)

8

9.

$f\left(2\right)\ =\$ ____

a)

2

b)

-3

c)

undefined

d)

8

10.

$f\left(-5\right)\ =\$ ____

a)

3

b)

1

c)

undefined

d)

DNE

11.

$f\left(1\right)\ =\$ ____

a)

2

b)

-1

c)

undefined

d)

1

12.

At which value is the graph continuous?

a)

x = - 8

b)

x = - 4

c)

x = 2

d)

x = 8

13.

Which of the following is

NOT TRUE?

a)

Infinite discontinuity exists at x = -8

b)

Jump discontinuity exists at x = -5

c)

f(6) is undefined

d)

f(-2) = 4

14.

Which of the following is true of the graph at x = 1?

a)

The graph is continuous

b)

The graph has jump discontinuity

c)

The graph has removable discontinuity

d)

The graph has infinite discontinuity

15.

$\lim_{x\ \rightarrow\ -6^+}f\left(x\right)\ =$ ____

a)

-1

b)

undefined

c)

3

d)

4

16.

$\lim_{x\ \rightarrow\ 6^{-\ }}f\left(x\right)\ =$ ____

a)

-1

b)

4

c)

DNE

d)

-5

e)

0

17.

GIven: $\lim_{x\rightarrow c^{-\ }}f\left(x\right)\ =a\ \ \ \ \&\ \ \ \lim_{x\rightarrow c^{+\ }}f\left(x\right)\ =b,$
Which of the following must be TRUE?

a)

$\lim_{x\ \rightarrow\ c}f\left(x\right)\$ exists if $a\ne b$

b)

$a=b$

c)

$\lim_{x\rightarrow c}f\left(x\right)$ does not exist

d)

The two-sided limit exists if $a=b$

e)

$a\ne b$

18.

Jump discontinuity exists at each x-value below EXCEPT?

a)

x = -6

b)

x = 3

c)

x = 6

d)

None - jump discontinuity exists at all options

19.

f(-4) = _____

a)

-1

b)

4

c)

DNE

d)

undefined

20.

Given $\lim_{x\rightarrow c}\ f\left(x\right)$ does not exist on the graph provided, which of the following may be the value of c?

a)

-6

b)

-3

c)

2

d)

9

12.1 Graphical Limits

Total questions: 20

Worksheet time: 10mins

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