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End Behavior H.W G10

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the increasing interval for the function below?

a)

(−∞,∞)\left(-\infty,\infty\right)

b)

(−∞,2]\left(-\infty,2\right]

c)

(−∞,6]\left(-\infty,6\right]

d)

(−6,6)\left(-6,6\right)

2.

What is/are the increasing interval(s) for the function shown?

a)

(−3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(−∞,1) and (−3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

3.

What is the decreasing interval(s) on the function shown?

a)

(−7, −6) and (−2, 4)\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)

b)

(−7, 0) and (−2, 4)\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)

c)

(−7, −6) and (−2, 0)\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)

d)

(−7, 0) and (4, 5)\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)

4.

What is the decreasing interval on the function shown?

a)

(−∞, 1)\left(-\infty,\ 1\right)

b)

(−∞, 2)\left(-\infty,\ 2\right)

c)

(2, ∞)\left(2,\ \infty\right)

d)

(1, ∞)\left(1,\ \infty\right)

5.

What is the decreasing interval on the function shown?

a)

(−∞, −3)\left(-\infty,\ -3\right)

b)

(−∞, −4)\left(-\infty,\ -4\right)

c)

(−4, ∞)\left(-4,\ \infty\right)

d)

(−3, ∞)\left(-3,\ \infty\right)

6.

Describe the end behavior of the function.

a)

 as x→−∞, f(x)→−∞as\ x→-∞,\ f(x)\rightarrow-∞  
 as x→∞, f(x)→∞as\ x→∞,\ f(x)\rightarrow∞  

b)

 as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow∞  
 as x→∞, f(x)→−∞as\ x→∞,\ f(x)\rightarrow-∞  

c)

 as x→−∞, f(x)→0as\ x→-∞,\ f\left(x\right)\rightarrow0  
 as x→∞, f(x)→∞as\ x→∞,\ f(x)\rightarrow∞  

d)

 as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow∞  
 as x→∞, f(x)→∞as\ x→∞,\ f(x)\rightarrow∞  

7.

Describe the end behavior of the function.

(Keep in mind Horizontal Asymptotes are not usually drawn)

a)

as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow∞

as x→∞, f(x)→∞as\ x→∞,\ f(x)\rightarrow∞

b)

as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow\infty

as x→∞, f(x)→1as\ x\rightarrow∞,\ f(x)\rightarrow1

c)

as x→−∞, f(x)→−1as\ x→-∞,\ f(x)\rightarrow-1

as x→∞, f(x)→1as\ x→∞,\ f(x)\rightarrow1

d)

as x→−∞, f(x)→1as\ x→-∞,\ f(x)\rightarrow1
as x→−∞, f(x)→1as\ x→-∞,\ f(x)\rightarrow1

8.

Describe the end behavior of the function.

a)

as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow∞
as x→∞, f(x)→−∞as\ x→∞,\ f(x)\rightarrow-∞

b)

as x→−∞, f(x)→−∞as\ x→-∞,\ f(x)\rightarrow-∞
as x→∞, f(x)→−∞as\ x→∞,\ f(x)\rightarrow-∞

c)

as x→−∞, f(x)→2as\ x→-∞,\ f(x)\rightarrow2
as x→∞, f(x)→2as\ x→∞,\ f(x)\rightarrow2

d)

as x→−∞, f(x)→∞as\ x→-∞,\ f(x)\rightarrow∞
as x→∞, f(x)→∞as\ x→∞,\ f(x)\rightarrow∞

9.

What is the end behavior of h(x)?

a)

as x → −∞, h(x) →∞as\ x\ \rightarrow\ -\infty,\ h\left(x\right)\ \rightarrow\infty
as x → ∞, h(x) →∞as\ x\ \rightarrow\ \infty,\ h\left(x\right)\ \rightarrow\infty

b)

as x → −∞, h(x) →−∞as\ x\ \rightarrow\ -\infty,\ h\left(x\right)\ \rightarrow-\infty
as x → ∞, h(x) →−∞as\ x\ \rightarrow\ \infty,\ h\left(x\right)\ \rightarrow-\infty

c)

as x → −∞, h(x) →∞as\ x\ \rightarrow\ -\infty,\ h\left(x\right)\ \rightarrow\infty
as x → ∞, h(x) →−∞as\ x\ \rightarrow\ \infty,\ h\left(x\right)\ \rightarrow-\infty

d)

as x → −∞, h(x) →−∞as\ x\ \rightarrow\ -\infty,\ h\left(x\right)\ \rightarrow-\infty
as x → ∞, h(x) →∞as\ x\ \rightarrow\ \infty,\ h\left(x\right)\ \rightarrow\infty

10.

What is the end behavior of the function f(x) graphed above?

a)

as x →−∞, f(x) →∞as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow\infty
as x →∞, f(x) →∞as\ x\ \rightarrow\infty,\ f\left(x\right)\ \rightarrow\infty

b)

as x →−∞, f(x) →0as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow0
as x →−∞, f(x) →−∞as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty

c)

as x →−∞, f(x) →0as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow0
as x →−∞, f(x) →0as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow0

d)

as x →−∞, f(x) →−∞as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty
as x →−∞, f(x) →−∞as\ x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow-\infty