Choose the statement that describes the right end-behavior for f ( x ) = x + 1 + 2 f\left(x\right)=\sqrt{x+1}+2 f ( x ) = x + 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + 2

x → ∞ f ( x ) → ∞ x\rightarrow\infty\ \ f\left(x\right)\rightarrow\infty x → ∞ f ( x ) → ∞

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

x → − ∞ f ( x ) → 2 x\rightarrow-\infty\ \ f\left(x\right)\rightarrow2 x → − ∞ f ( x ) → 2

x → ∞ f ( x ) → 2 x\rightarrow\infty\ \ f\left(x\right)\rightarrow2 x → ∞ f ( x ) → 2

Choose the statement that describes the left end-behavior for graph shown.

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

x → ∞ f ( x ) → ∞ x\rightarrow\infty\ \ f\left(x\right)\rightarrow\infty x → ∞ f ( x ) → ∞

x → − ∞ f ( x ) → 2 x\rightarrow-\infty\ \ f\left(x\right)\rightarrow2 x → − ∞ f ( x ) → 2

x → ∞ f ( x ) → 2 x\rightarrow\infty\ \ f\left(x\right)\rightarrow2 x → ∞ f ( x ) → 2

Practice: Square Root Function Facts

Authored by Megan Haught

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

Domain: (-∞, ∞) Range: [-∞, 4]

Domain: [1, ∞) Range: (-∞, 4]

Domain: [-1. ∞) Range: [4, ∞)

Domain: [4, ∞) Range: [-1,∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Where is the function increasing?

[ $-3,\infty$ )

[ $0,\infty$ )

[ $3,\infty$ )

( $-\infty,0$ ]

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the domain of the function in this graph?

( $-\infty,3$ ]

[ $3,\infty$ )

( $-\infty,0$ ]

[ $0,\infty$ )

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the range of the function in this graph?

( $-\infty,3$ ]

[ $3,\infty$ )

( $-\infty,0$ ]

[ $0,\infty$ )

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Identify the Range

(- ∞, -2 ]

[ -2, ∞ )

(-∞, 0)

[ 0, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the domain for:
$g\left(x\right)=\sqrt{x+5}-3$

-3 ≤ x < ∞

− ∞ < x ≤ -3

-5 ≤ x < ∞

− ∞ < x ≤ -5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the Range for:
$g\left(x\right)=\sqrt{x+5}-3$

-3 ≤ y < ∞

− ∞ < y ≤ -3

-5 ≤ y < ∞

− ∞ < y ≤ -5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the domain of this function?
$f\left(x\right)=\sqrt{x-1}-3$

x ≥ 1

x ≤ 1

x ≥ -3

x ≥ -1

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the range of this function?
$f\left(x\right)=\sqrt{x-1}-3$

f(x) ≥ 1

f(x) ≥ -1

f(x) ≥ -3

f(x) ≤ -3

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Practice: Square Root Function Facts

Find the domain and range of the functionHint: Use a scratch graph to help you visualize things.

Where is the function increasing?

What is the domain of the function in this graph?

What is the range of the function in this graph?

Identify the Range

What is the domain for: g(x)=x+5−3g\left(x\right)=\sqrt{x+5}-3g(x)=x+5​−3

What is the Range for: g(x)=x+5−3g\left(x\right)=\sqrt{x+5}-3g(x)=x+5​−3

Where is the function increasing?

What is the domain of this function? f(x)=x−1−3f\left(x\right)=\sqrt{x-1}-3f(x)=x−1​−3

What is the range of this function? f(x)=x−1−3f\left(x\right)=\sqrt{x-1}-3f(x)=x−1​−3

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Discover more resources for Mathematics

Find the domain and range of the function
Hint: Use a scratch graph to help you visualize things.

What is the domain for:
$g\left(x\right)=\sqrt{x+5}-3$

What is the Range for:
$g\left(x\right)=\sqrt{x+5}-3$

What is the domain of this function?
$f\left(x\right)=\sqrt{x-1}-3$

What is the range of this function?
$f\left(x\right)=\sqrt{x-1}-3$