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Calculus Final Review > Calculus Final Review Common Functions > Flashcards

Calculus Final Review Common Functions Flashcards

1
Q

y=x^2

A

An upward “u”

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1
Q

y=x^2

A

An upward “u”

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2
Q

x=y^2

A

A sideways “u”

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2
Q

x=y^2

A

A sideways “u”

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3
Q

y=x^3

A

1/2(downward “u”), then 1/2 ( upward “u”)

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3
Q

y=x^3

A

1/2(downward “u”), then 1/2 ( upward “u”)

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4
Q

y=x^1/3

A

Previous; sideways and rotated

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4
Q

y=x^1/3

A

Previous; sideways and rotated

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5
Q

y=x

A

Straight diagonal line

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5
Q

y=x

A

Straight diagonal line

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6
Q

y=1/x

A

Opposing curves against “x” and “Y”

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6
Q

y=1/x

A

Opposing curves against “x” and “Y”

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7
Q

y=1/x^2

A

From x backwards up to y

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7
Q

y=1/x^2

A

From x backwards up to y

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8
Q

y=[x]

A

Upward “v”

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8
Q

y=[x]

A

Upward “v”

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9
Q

y=[x]/x

A

Open circles, then constant y=some # x

9
Q

y=[x]/x

A

Open circles, then constant y=some # x

10
Q

y=(a^2-x^2)^1/2

A

Semicircle

10
Q

y=(a^2-x^2)^1/2

A

Semicircle

11
Q

y=-f(x)

A

Reflects the graph over the x-axis

11
Q

y=-f(x)

A

Reflects the graph over the x-axis

12
Q

y=f(-x)

A

Reflects the graph over the y-axis

12
Q

y=f(-x)

A

Reflects the graph over the y-axis

13
Q

y=f(x)+c

A

Translates the graph of y=f(x) up c units

13
Q

y=f(x)+c

A

Translates the graph of y=f(x) up c units

14
Q

y=f(x)-c

A

Translates the graph of y=f(x) down c units

14
Q

y=f(x)-c

A

Translates the graph of y=f(x) down c units

15
Q

y=f(x+c)

A

Translates the graph of y=f(x) left c units

15
Q

y=f(x+c)

A

Translates the graph of y=f(x) left c units

16
Q

y=f(x-c)

A

Translates the graph of y=f(x) right c units

16
Q

y=f(x-c)

A

Translates the graph of y=f(x) right c units

17
Q

y=cf(x)

A

The graph of y=f(x) scaled vertically by c (c>0)

17
Q

y=cf(x)

A

The graph of y=f(x) scaled vertically by c (c>0)

18
Q

A plane curve is symmetric about the —if replacing — by —- in its equation produces and equivalent equation.

A

y-axis, x, -x,

18
Q

A plane curve is symmetric about the —if replacing — by —- in its equation produces and equivalent equation.

A

y-axis, x, -x,

19
Q

A plane curve is symmetric about ——- if replacing —- by —- and —- by —- in its equation produces and equivalent equation.

A

the origin, x, -x, y, -y

19
Q

A plane curve is symmetric about ——- if replacing —- by —- and —- by —- in its equation produces and equivalent equation.

A

the origin, x, -x, y, -y

20
Q

m=(y_2-y_1)/(x_2-x_1)

A

Slope

20
Q

m=(y_2-y_1)/(x_2-x_1)

A

Slope

21
Q

y-y_1=m(x-x_1)

A

Point-slope form

21
Q

y-y_1=m(x-x_1)

A

Point-slope form

Calculus Final Review (8 decks)

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