Find the domain of f ( x ) = 1 x − 5 f\left(x\right)=\frac{1}{\sqrt{x-5}} f ( x ) = x − 5 <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"> 1

( 5 , ∞ ) \left(5,\infty\right) ( 5 , ∞ )

( − ∞ , 5 ] \left(-\infty,5\right] ( − ∞ , 5 ]

( − ∞ , 5 ) ( 5 , ∞ ) \left(-\infty,5\right)\left(5,\infty\right) ( − ∞ , 5 ) ( 5 , ∞ )

[ 5 , ∞ ) \left[5,\infty\right) [ 5 , ∞ )

The end behavior for the function graphed is______________________

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

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

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

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

Find the domain and range of the function Hint: Use transformations to help you visualize the graph. f ( x ) = − x + 2 − 1 f\left(x\right)=-\sqrt{x+2}-1 f ( x ) = − x + 2 <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"> − 1

Domain: [-2, ∞) Range: (-∞, -1]

Domain: (-∞, ∞) Range: [-∞, -1]

Domain: [-1 ∞) Range: [2, ∞)

Domain: [-2, ∞) Range: [-1,∞)

( x − 6 ) ( x + 2 ) ( x − 2 ) < 0 \left(x-6\right)\left(x+2\right)\left(x-2\right)<0 ( x − 6 ) ( x + 2 ) ( x − 2 ) < 0

( − ∞ , − 2 ) ∪ ( 2 , 6 ) \left(-\infty,-2\right)\cup\left(2,6\right) ( − ∞ , − 2 ) ∪ ( 2 , 6 )

( − ∞ , − 1 ) ∪ ( 1 , 5 ) \left(-\infty,-1\right)\cup\left(1,5\right) ( − ∞ , − 1 ) ∪ ( 1 , 5 )

( − 2 , 2 ) ∪ ( 6 , ∞ ) \left(-2,2\right)\cup\left(6,\infty\right) ( − 2 , 2 ) ∪ ( 6 , ∞ )

Pre Calculus Fall 2020 Semester Exam

Authored by Dalila R

Mathematics

11th - 12th Grade

CCSS covered

Used 13+ times

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22 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is this graph a function or not a function?

Function

Not a Function

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

.
The blue is f(x)=|x|, red must be

g(x)=|x+2|

g(x)=|x|+2

g(x)=|x-2|

g(x)=|x|-2

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the following in interval notation
x < 3 or x ≥ 5

(3, -∞) or (∞, 5]

[-∞, 3) or [5, ∞]

(-∞, 3) or [5, ∞)

(3, -∞] or [∞, 5]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is f(-3)?

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the domain of the function in interval notation?

$\left(-\infty,-7\right)\cup\left(-7,2\right)\cup\left(2,\infty\infty\right)$

$\left(-\infty,-2\right)\cup\ \left(-2,7\right)\cup\left(7,\infty\right)$

$\left(-\infty,-7\right)\cup\left(2,\infty\right)$

$\left(-\infty,-2\right)\cup\left(7,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of $f\left(x\right)=\frac{1}{\sqrt{x-5}}$

$\left(-\infty,5\right]$

$\left(-\infty,5\right)\left(5,\infty\right)$

$\left(5,\infty\right)$

$\left[5,\infty\right)$

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Pre Calculus Fall 2020 Semester Exam

Is this graph a function or not a function?

.
The blue is f(x)=|x|, red must be

Write the following in interval notation
x < 3 or x ≥ 5

What is f(-3)?

What is the domain of the function in interval notation?

Find the domain of $f\left(x\right)=\frac{1}{\sqrt{x-5}}$

What is the value of f(0)?

What is the range of the function graphed?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Pre Calculus Fall 2020 Semester Exam

Is this graph a function or not a function?

. The blue is f(x)=|x|, red must be

Write the following in interval notationx < 3 or x ≥ 5

What is f(-3)?

What is the domain of the function in interval notation?

Find the domain of f(x)=1x−5f\left(x\right)=\frac{1}{\sqrt{x-5}}f(x)=x−5​1​

What is the value of f(0)?

What is the range of the function graphed?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

.
The blue is f(x)=|x|, red must be

Write the following in interval notation
x < 3 or x ≥ 5

Find the domain of $f\left(x\right)=\frac{1}{\sqrt{x-5}}$