What is the domain and range of the following graph?

Domain: ( - ∞ , ∞ ) Range: [ -1, ∞ )

The domain of f(x) = (x-1)2 is restricted to (-∞, 1]. What is the domain and range of f-1(x)?

Domain: [ 0 , ∞ ) Range: ( - ∞ , 1 ]

Which quote do you relate most to?

"Idk how many problems I have because math is one of them.", "I came. I saw. I made it awkward.", "Friday is my second favorite F word.", "I have to be successful because I like expensive things."

Name the transformation from f(x)=x2 to g(x)= -1/2x2+3

Reflect over x axis, compress by 1/2, vertical shift up 3

What is the domain and range of the following graph?

Domain: ( - ∞ , ∞ ) Range: ( - ∞ , 7]

Name the transformation from f(x)= √x to g(x)=√(x+3) - 5

Horizontal shift left 3, vertical shift down 5

Would you rather win:

$20,000?, a new BMW?, a day with your favorite artist?, a free, luxury trip to Europe?

The domain of f(x)= (x+1)2 is restricted to [-1, ∞). What are the domain and range of f-1(x)?

Domain: [0, ∞) Range: [-1, ∞)

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Algebra II Semester 1 Review Pt 1

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#TEKS #algebra2 #transformations #domainandrange #quadratics

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Questions 13

Answers

1
What is the solution inequality that matches the graph?
x ≤ 1 or x ≥ 3
-1 ≤ x ≤ 3
x < 1 or x > 3
1 ≤ x ≤ 3
2
What is the domain and range of the following graph?
Domain: [ -1, ∞ ) Range: ( - ∞ , ∞ )
Domain: ( - ∞ , ∞ ) Range: [ -1, ∞ )
Domain: [ 0 , 5 ] Range: [ -1, ∞ )
Domain: ( - ∞ , ∞ ) Range: ( - ∞ , ∞ )
3
The domain of f(x) = (x-1)² is restricted to (-∞, 1]. What is the domain and range of f^-1(x)?
Domain: ( - ∞ , ∞ ) Range: ( - ∞ , 1 ]
Domain: [ 0 , ∞ ) Range: [ 1 , ∞ )
Domain: ( - ∞ , ∞ ) Range: ( - ∞ , ∞ )
Domain: [ 0 , ∞ ) Range: ( - ∞ , 1 ]
4
Which quote do you relate most to?
"Idk how many problems I have because math is one of them."
"I came. I saw. I made it awkward."
"Friday is my second favorite F word."
"I have to be successful because I like expensive things."
5
Name the transformation from f(x)=x² to g(x)= -1/2x²+3
Reflect over x axis, stretch by 1/2, horizontal left 3
Reflect over x axis, compress by 1/2, horizontal right 3
Reflect over x axis, stretch by 1/2, vertical shift up 3
Reflect over x axis, compress by 1/2, vertical shift up 3
6
What is the domain and range of the following graph?
Domain: ( - ∞ , ∞ ) Range: ( - ∞ , ∞ )
Domain: [ - 5, 1 ] Range: [ 7, ∞ )
Domain: ( - ∞ , ∞ ) Range: ( - ∞ , 7]
Domain: ( - ∞ , 7] Range: ( - ∞ , ∞ )
7
Name the transformation from f(x)=x² to g(x)=(x-1)²
Horizontal shift right 1
Vertical shift down 1
Horizontal shift left 1
Vertical shift up 1
8
Name the transformation from f(x)= √x to g(x)=√(x+3) - 5
Vertical shift up 3, horizontal shift down 5
Horizontal shift left 3, vertical shift down 5
Horizontal shift right 3, vertical shift down 5
Vertical shift down 3, horizontal shift up 5
9
A quadratic function has a vertex of (-5 , 4 ). What is the equation in vertex form?
f (x) = - ( x + 5 )2 - 4
f (x) = ( x + 5 )2 + 4
f (x) = ( x + 5 )2 - 4
f (x) = - ( x - 5 )2 + 4
10
Would you rather win:
$20,000?
a new BMW?
a day with your favorite artist?
a free, luxury trip to Europe?
11
Which inequality matches the graph?
y ≤ x2+3
y > x2 -2x - 3
y < x2 -2x + 3
y ≥ x2+3
12
What state is Ms. Ong from?
California
Georgia
She wasn't born in the US!
Texas
13
The domain of f(x)= (x+1)² is restricted to [-1, ∞). What are the domain and range of f^-1(x)?
Domain: [-1, ∞) Range: (-∞, ∞)
Domain: (-∞, ∞) Range: [0, ∞)
Domain: (-∞, ∞) Range: (-∞, 1]
Domain: [0, ∞) Range: [-1, ∞)

Algebra II Semester 1 Review Pt 1 Flashcards | StudBud