Algebra and Functions (3) Flashcards

1
Q

When does the inequality sign change?

A

Multiplying/dividing by a negative

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2
Q

Multiplying/dividing by a negative

A

When does the inequality sign change?

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3
Q

Bottom-left to top-right cubic graph

A

If coefficient of x^3 is positive

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4
Q

If coefficient of x^3 is positive

A

Bottom-left to top-right cubic graph

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5
Q

Top-left to to bottom-right cubic graph

A

If coefficient of x^3 is negative

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6
Q

If coefficient of x^3 is negative

A

Top-left to to bottom-right cubic graph

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7
Q

Difference between |f(x)| and |f(-x)|

A

For x-axis, |f(x)| is 1 and for y-axis, is 5

For x-axis, |f(-x)| is -1 and for y-axis, is 5

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8
Q

For x-axis, |f(x)| is 1 and for y-axis, is 5

For x-axis, |f(-x)| is -1 and for y-axis, is 5

A

Difference between |f(x)| and |f(-x)|

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9
Q

What are the solutions for x^2 - 9 >= 0?

A

x^2 - 9 >= 0 for x<=3 and x>=3

x^2 - 9 < 0 for -3

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10
Q

x^2 - 9 >= 0 for x<=3 and x>=3

x^2 - 9 < 0 for -3

A

What are the solutions for x^2 - 9 >= 0?

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11
Q

I get a u-shape (if k is positive)

n-shape (if k is negative)

A

Graph shape when n positive and even?

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12
Q

Graph shape when n positive and even?

A

I get a u-shape (if k is positive)

n-shape (if k is negative)

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13
Q

Graph shape when n is positive and odd

A

Corner-to-corner shape

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14
Q

Corner-to-corner shape

A

Graph shape when n is positive and odd

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15
Q

Graph shape when n is negative and even?

A

Get a graph with two bits next to each other

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16
Q

Get a graph with two bits next to each other

A

Graph shape when n is negative and even

17
Q

Graph shape when n is negative and odd

A

Get a graph with two bits opposite each other

18
Q

Get a graph with two bits opposite each other

A

Graph shape when n is negative and odd

19
Q

What is y ∝ x and y ∝ 1/x equivalent to?

A
y = kx
y = k/x
20
Q
y = kx
y = k/x
A

What is y ∝ x and y ∝ 1/x equivalent to?