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End Behavior with Limit Notation

Total questions: 15

Worksheet time: 22mins

Name
Class
Date
1.

Which one means left

a)

x → - ∞

b)

x → ∞

2.

Which one means up

a)

f(x) → - ∞

b)

f(x) → ∞

3.

Which one means the function goes up on the left

a)

lim⁡x→−∞f(x)=∞\lim_{x\rightarrow-\infty}f\left(x\right)=\infty

b)

lim⁡x→−∞f(x)=−∞\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty

4.

Which one means the function goes down on the left

a)

lim⁡x→−∞f(x)=−∞\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty

b)

lim⁡x→−∞f(x)=∞\lim_{x\rightarrow-\infty}f\left(x\right)=\infty

5.

Which is the correct notation for the "limit of f(x) as x approaches 3 is 7"?

a)

lim⁡x→7f(x)=3\lim_{x\rightarrow7}f\left(x\right)=3

b)

lim⁡f(3)=7\lim_{ }f\left(3\right)=7

c)

f(3)=7f\left(3\right)=7

d)

lim⁡x→3f(x)=7\lim_{x\rightarrow3}f\left(x\right)=7

6.

 lim⁡x→−∞f(x)= ?\lim_{x\rightarrow-\infty}f\left(x\right)=\ ?  

a)

 −∞-\infty  

b)

 ∞\infty  

c)

 00  

d)

 1010  

7.

 As x→∞, f(x)→   ?As\ x\rightarrow\infty,\ f\left(x\right)\rightarrow\ \ \ ?  

a)

 −∞-\infty  

b)

 ∞\infty  

c)

 00  

d)

 1010  

8.

What is the End behavior on the left side

a)

lim⁡x→−∞f(x)=∞\lim_{x\rightarrow-\infty}f\left(x\right)=\infty

b)

lim⁡x→∞f(x)=−∞\lim_{x\rightarrow\infty}f\left(x\right)=-\infty

c)

lim⁡x→−∞f(x)=−∞\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty

d)

lim⁡x→∞f(x)=∞\lim_{x\rightarrow\infty}f\left(x\right)=\infty

9.
What is the End behavior on the left side
a)
x →-∞, y→∞
b)
x →-∞, y→-∞
c)
x →∞, y→∞
d)
x →∞, y→∞
10.

What is the end behavior on the left side

a)

lim⁡x→∞f(x)=∞\lim_{x\rightarrow\infty}f\left(x\right)=\infty

b)

lim⁡x→−∞f(x)=−∞\lim_{x\rightarrow-\infty}f\left(x\right)=-\infty

c)

lim⁡x→−∞f(x)=∞\lim_{x\rightarrow-\infty}f\left(x\right)=\infty

d)

lim⁡x→∞f(x)=∞\lim_{x\rightarrow\infty}f\left(x\right)=\infty

11.
What is the End behavior on the right side
a)
x →-∞, y→∞
b)
x →-∞, y→-∞
c)
x →∞, y→∞
d)
x →∞, y→-∞
12.

What is the End behavior on the right side

a)

x→ ∞, y→ ∞

b)

x→ -∞, y→ ∞

c)

x→ -∞, y→ 0

d)

x→ ∞, y→ -∞

13.

In the above graph complete the following end behavior:

As x --> -∞, f(x) --> ____

As x --> +∞, f(x) --> ____

a)

-∞

-∞

b)

+∞

-∞

c)

-∞

+∞

d)

+∞

+∞

14.
In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
15.

Describe the end behavior of the graph.

a)

x → - ∞, f(x) → ∞ and x→ ∞, f(x) → -∞

b)

x → -∞, f(x) → ∞ and x→ ∞, f(x) → ∞

c)

x → -∞, f(x) → ∞ and x→ ∞, f(x) → 0

d)

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞