Non-Linear Relationships Flashcards

1
Q

Exponential Function

shape?

A

curve

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2
Q

Exponential Function

equation?

A

y=a^x

constant is a>0

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3
Q

Exponential Function

y-intercept?

A

(0,1)

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4
Q

Exponential Function

bigger a-value?

A

steeper the graph

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5
Q

Exponential Function

constant added e.g. 2^x+3

A

move up or down the y-axis

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6
Q

Quadratic Function

shape?

A

parabola

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7
Q

Quadratic Function

equation?

A

has an x^2 (no higher)

standard: y=ax^2+bx+c

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8
Q

Quadratic Function

co-efficient is positive?

A

concave up

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9
Q

Quadratic Function

co-efficient is negative?

A

concave down

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10
Q

Quadratic Function

axis of symmetry equation

A

-b/2a

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11
Q

Reciprocal Function

shape?

A

hyperbola

one part is reflected in opposite part of the number plane

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12
Q

Reciprocal Function

equation?

A

y=k/x

index form y=x^-k

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13
Q

Reciprocal Function

asymptote?

A

line that the graph approaches but never touches (x and y axis)

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14
Q

Inverse Variation

occurs when?

A

one variable increases, while the other decreases

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15
Q

Inverse Variation

equation?

A

y=k/x

k is constant

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16
Q

Direct Variation

A

y=kx