Free Printable End Behavior and Asymptotes

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Worksheets

End Behavior and Asymptotes

Total questions: 47

Worksheet time: 38mins

Name

Class

Date

1.

A line that the graph continually approaches but never touches is a(n) _____________________

a)

parabola

b)

asymptote

c)

rational function

d)

None of these

2.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

3.

Range?

a)

(-8, ∞)

b)

[-8, ∞)

c)

(-∞, ∞)

d)

(∞, -8)

4.

What is the horizontal asymptote?

a)

y = 2

b)

y = -2

c)

x = 2

d)

y = 0

5.

What is the domain of the graph?

a)

[0,∞)

b)

x≥0

c)

All real numbers

d)

(-∞,0]

6.

What is the asymptote of y = 2^x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

7.

What is the asymptote of y = log₂x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

8.

What is the asymptote of y = log₂(x - 3) ?

a)

y = 0

b)

y = 3

c)

x = 0

d)

x = 3

9.

What is the domain of the function shown below?

a)

[-2, 5]

b)

(0,12]

c)

y > 0

d)

All Real Numbers

10.

What is the range of this graph?

a)

(-∞,∞)

b)

[-6, ∞)

c)

(-6, ∞)

d)

[-6,10]

11.

Range?

a)

(-8, ∞)

b)

[-8, ∞)

c)

(-∞, ∞)

d)

(∞, -8)

12.

What is the horizontal asymptote?

a)

y=1

b)

y=0

c)

(0,-1)

d)

y=-1

13.

What is the horizontal asymptote?

a)

y=3

b)

y=-2

c)

y=-3

d)

(0,-3)

14.

What is the horizontal asymptote?

a)

y = 2

b)

y = -2

c)

x = 2

d)

y = 0

15.

What is the horizontal asymptote?

a)

y = 4

b)

y = 0

c)

x = 4

d)

y = 5

16.

Name that function

a)

reciprocal

b)

logistic

c)

exponential

d)

natural logarithm

17.

Name that function

a)

squaring

b)

cubing

c)

reciprocal

d)

cosine

18.

Name that function

a)

natural logarithm

b)

squaring

c)

greatest integer

d)

sine

19.

Name that function

a)

cosine

b)

square root

c)

exponential

d)

identity

20.

What kind of function?

a)

Square Root

b)

Cube Root

c)

Cubic

d)

What's a function?

21.

Name that function

a)

absolute value

b)

sine

c)

cube root

d)

cubic

22.

a)

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

d)

The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

23.

a)

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0

d)

The end behavior of the graph is x →∞,y→0 and x→∞, y→⁻∞

24.

a)

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0

d)

The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

25.

a)

The end behavior of the graph is x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0

d)

The end behavior of the graph is x →∞,y→∞ and x→⁻∞, y→⁻∞

26.

a)

The end behavior of the graph is x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→2

d)

The end behavior of the graph is x →∞,y→2 and x→⁻∞, y→∞

27.

Where are the asymptotes?

a)

x = 2, y = 2

b)

x = 2

c)

y = 2

d)

There are no asymptotes

28.

Which is the horizontal asymptote?

a)

x = 2, y = 2

b)

x = 2

c)

y = 2

d)

There are no asymptotes

29.

Which is the vertical asymptote?

a)

x = 2, y = 2

b)

x = 2

c)

y = 2

d)

There are no asymptotes

30.

As x→ -∞, f(x)→

a)

2

b)

-2

c)

∞

d)

-∞

31.

As x→ ∞, f(x)→

a)

2

b)

-2

c)

∞

d)

-∞

32.

Where are the asymptotes?

a)

x= 3, y= -2

b)

x= -2, y= 3

c)

x= -3, y= 2

d)

x= 2, y= -3

33.

What is the horizontal asymptotes?

a)

y= -3

b)

x= -3

c)

y= 2

d)

x= 2

34.

What is the vertical asymptotes?

a)

y= -3

b)

x= -3

c)

y= 2

d)

x= 2

35.

As x→∞, f(x) →

a)

-3

b)

-∞

c)

2

d)

∞

36.

As x→ -∞, f(x) →

a)

-3

b)

-∞

c)

2

d)

∞

37.

The asymptote is

a)

y = 3

b)

x = 3

c)

y = 2

d)

x = 2

38.

What is the asymptote?

a)

x = -4

b)

y= -4

c)

y = -3

d)

x = -3

39.

As x → -∞ , f(x) →

a)

-4

b)

-3

c)

∞

d)

-∞

40.

As x → ∞ , f(x) →

a)

-4

b)

-3

c)

∞

d)

-∞

41.

What kind of graph?

a)

log

b)

exponential

c)

reciprocal

42.

What is the asymptote

a)

y = -6

b)

x = -6

c)

x = -7

d)

y = -7

43.

As x→ -7, f(x) →

a)

∞

b)

-∞

c)

-6

d)

-7

44.

As x→ ∞, f(x) →

a)

∞

b)

-∞

c)

-6

d)

-7

45.

What kind of function?

a)

Quadratic

b)

Absolute Value

c)

Cube Root

d)

Square Root

46.

As x→∞, f(x) →

a)

∞

b)

-∞

c)

-4

d)

-2

47.

As x→ -2, f(x) →

a)

∞

b)

-∞

c)

-4

d)

-2

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