Free Printable End Behavior of Logarithmic Functions

1.

What is the asymptote of y = log₂x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

2.

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

a)

y = 0

b)

y = 3

c)

x = 0

d)

x = 3

3.

Describe the end behavior of the graph of $f\left(x\right)=\log_4x$

a)

As $x\rightarrow\infty$ , $y\rightarrow\infty$

b)

As $x\rightarrow\infty$ , $y\rightarrow-\infty$

c)

As $x\rightarrow0^+$ , $y\rightarrow\infty$

d)

As $x\rightarrow0^+$ , $y\rightarrow-\infty$

4.

What is the vertical asymptote for the graph of $f\left(x\right)=\log_4x$ ?

a)

$y=0$

b)

$y=4$

c)

$x=0$

d)

$x=4$

5.

Describe the end behavior for h\left(x\right)=-\log_3\left(x+1\right). Select ALL that apply.

a)

As $x\rightarrow-1^-$ , $y\rightarrow-\infty$

b)

As $x\rightarrow\infty$ , $y\rightarrow\infty$

c)

As $x\rightarrow-1^+$ , $y\rightarrow\infty$

d)

As $x\rightarrow\infty$ , $y\rightarrow-\infty$

6.

Describe the end behavior of the function shown: y=log₂(x+1)

a)

b)

c)

7.

The logarithmic function f is defined by f(x) = 2lnx. Which of the following pairs of statements correctly describes the end behavior of f?

a)

and

b)

and

c)

and

d)

and

8.

Describe the end behavior for h\left(x\right)=-\log_3\left(x+1\right). Select ALL that apply.

a)

As $x\rightarrow-1^-$ , $y\rightarrow-\infty$

b)

As $x\rightarrow\infty$ , $y\rightarrow\infty$

c)

As $x\rightarrow-1^+$ , $y\rightarrow\infty$

d)

As $x\rightarrow\infty$ , $y\rightarrow-\infty$

9.

Which function best describes the following graph?

a)

y = Log₂ X

b)

2^x = y

c)

y = 1/(2x)

d)

(1/2)^x = y

10.

What is the range of the function graphed?

a)

(-∞, ∞)

b)

(-∞, 2] and [2, ∞)

c)

[2, ∞)

d)

(-∞, 2]

End Behavior of Logarithmic Functions

Total questions: 10

Worksheet time: 10mins

Similar Resources on Wayground