Algebra and Functions (4) Flashcards

1
Q

What is the domain?

A

The set of starting numbers

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2
Q

The set of starting numbers

A

What is the domain?

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3
Q

What is the range?

A

The numbers the domain becomes

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4
Q

The numbers the domain becomes

A

What is the range?

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5
Q

What are the different ranges for |x^2-9|=7?

A

x<=3 and x>=3

-3 < x < 3

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6
Q

x<=-3 and x>=3

-3 < x < 3

A

What are the different ranges for |x^2-9|=7?

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7
Q

Two equations for different ranges of |x^2-9|=7?

A

x^2-9=7 for x<=-3 and x>=3

-(x^2-9)=7 for -3

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8
Q

x^2-9=7 for x<=-3 and x>=3

-(x^2-9)=7 for -3

A

Two equations for different ranges of |x^2-9|=7?

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9
Q

When to swap the range and domain with each other?

A

When finding the inverse function

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10
Q

When finding the inverse function

A

When to swap the range and domain with each other?

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11
Q

What is the range of 3x^2 + 2 when domain x>=0?

A

f(x)>=2

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12
Q

f(x)>=2

A

What is the range of 3x^2 + 2 when domain x>=0?

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13
Q

What represents the x-axis in a function?

A

The domain

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14
Q

What is -(x-1) equivalent to?

A

(1-x)

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15
Q

The domain

A

What represents the x-axis in a function?

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16
Q

(1-x)

A

What is -(x-1) equivalent to?

17
Q

Solve 5x+12/((x^2)(x-3))

A

5x + 12 = A/x^2 + B/x + C(x-3)

5x + 12 = A(x-3) + Bx(x-3) + Cx^2