Math IB SL 32S: Functions Unit Test Flashcards

1
Q

What is the Degree and name of this polynomial function? y = 1x^5 - 2x^4 + 2x^3 - 8x^2 + 5x + 1

A

Degree: 5 Name: Quintic

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2
Q

How does a double zero pass through the graph?

A

The graph has a turning point on the x-axis

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3
Q

What is the Degree and name of this polynomial function? y = 3

A

Degree: 0 Name: Constant

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4
Q

What does a graph look like when a function has an Even degree with a positive leading coefficient?

A

(E-pilepsephy makes you high) Even degree with positive leading coefficient is ⇧⇧ Note: (E-pilepsephy makes you high) Even degree with positive leading coefficient is ⇧⇧ (E-lectronegative is double down) Even degree with negative leading coefficient is ⇩⇩ (O-P is positive in the end but the beginning is opposite) Odd degree with positive leading coefficient is ⇩⇧ (O-N is negative in the end but the beginning is opposite) Odd degree with negative leading coefficient is ⇧⇩

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5
Q

How does a single zero pass through the graph?

A

The graph just passes through the x-axis

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6
Q

What is the Degree and name of this polynomial function? y = 3x^2 - 7x + 1

A

Degree: 2 Name: Quadratic

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7
Q

What does a graph look like when a function has an Odd degree with positive leading coefficient?

A

(O-P is positive in the end but the beginning is opposite) Odd degree with positive leading coefficient is ⇩⇧ Note: (E-pilepsephy makes you high) Even degree with positive leading coefficient is ⇧⇧ (E-lectronegative is double down) Even degree with negative leading coefficient is ⇩⇩ (O-P is positive in the end but the beginning is opposite) Odd degree with positive leading coefficient is ⇩⇧ (O-N is negative in the end but the beginning is opposite) Odd degree with negative leading coefficient is ⇧⇩

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8
Q

What is the Degree and name of this polynomial function? y = 3x + 2

A

Degree: 1 Name: Linear

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9
Q

How does a triple zero pass through the graph?

A

The graph passes through the x-axis but flattens out within one unit of the zero.

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10
Q

What does a graph look like when a function has an Odd degree with negative leading coefficient?

A

(O-N is negative in the end but the beginning is opposite) Odd degree with negative leading coefficient is ⇧⇩ Note: (E-pilepsephy makes you high) Even degree with positive leading coefficient is ⇧⇧ (E-lectronegative is double down) Even degree with negative leading coefficient is ⇩⇩ (O-P is positive in the end but the beginning is opposite) Odd degree with positive leading coefficient is ⇩⇧ (O-N is negative in the end but the beginning is opposite) Odd degree with negative leading coefficient is ⇧⇩

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11
Q

What is the Degree and name of this polynomial function? y = 3x^4 - 6x^2 - x + 4

A

Degree: 4 Name: Quartic

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12
Q

What does a graph look like when a function has an Even degree with negative leading coefficient?

A

(E-lectronegative is double down) Even degree with negative leading coefficient is ⇩⇩ Note: (E-pilepsephy makes you high) Even degree with positive leading coefficient is ⇧⇧ (E-lectronegative is double down) Even degree with negative leading coefficient is ⇩⇩ (O-P is positive in the end but the beginning is opposite) Odd degree with positive leading coefficient is ⇩⇧ (O-N is negative in the end but the beginning is opposite) Odd degree with negative leading coefficient is ⇧⇩

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13
Q

What is the Degree and name of this polynomial function? y= 5x^3 - 7x^2 + x + 1

A

Degree: 3 Name: Cubic

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14
Q

When you are graphing this equation: y = -3x² + 1, what will it look like?

A
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15
Q

When you are graphing this equation: y = 3x² + 1, what will it look like?

A
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16
Q

When you are graphing this equation: y = -x⁷ + 3x² + 1, what will it look like?

A
17
Q

When you are graphing this equation: y = x⁷ + 3x² + 1, what will it look like?

A
18
Q

What is the degree in an equation?

A

The highest power exponent in a variable besides the number

19
Q

What the approach of the graph look like when you are graphing this: y = (x + 5)

A
20
Q

What the approach of the graph look like when you are graphing this: y = (x + 5)²

A
21
Q

What the approach of the graph look like when you are graphing this: y = (x + 5)³

A
22
Q
A