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1

Sequence

an ordered list of numbers, with each listed number being a term. It could be finite or infinite.

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2

Arithmetic Sequence

when each successive term in a sequence has a common difference (constant rate of change).

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3

Geometric Sequence

when each successive term in a sequence has a common ratio (consistent proportional change).

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4

Linear Function

if the output values of a function change at a constant rate.

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5

Exponential Function

if the output values of a function change at a proportional rate.

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6

Nth Term (Arithmetic)

the formula to find the nth term in an arithmetic sequence.

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7

Nth Term (Geometric)

the formula to find the nth term in a geometric sequence.

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8

Exponential Functions

always increasing or always decreasing, with no extrema or inflection points.

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9

Horizontal Translation/Vertical Dilation

shifting or scaling an exponential function.

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10

General Form of an Exponential Function

the standard equation for an exponential function.

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11

Additive Transformation of an Exponential Function

adding a constant to an exponential function.

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12

Negative Exponent Property

the property of negative exponents in exponential functions.

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13

Product Property

the property of multiplying exponential functions with the same base.

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14

Power Property

the property of raising an exponential function to a power.

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15

Inverse Functions

the inverse relationship between two functions.

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16

Identity Function

a function that returns the same value as its input.

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17

Inverse of Exponential Functions

the inverse relationship between exponential and logarithmic functions.

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18

Logarithmic Functions

functions that model proportional growth or repeated multiplication.

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19

Log Product Property

the property of multiplying logarithmic functions.

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20

Log Quotient Property

the property of dividing logarithmic functions.

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21

Log Exponential Property

the property of exponentiating logarithmic functions.

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22

Natural Log Property

the property of logarithmic functions with base e.

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23

Exponential and Logarithmic Equations and Inequalities

solving equations and inequalities involving exponential and logarithmic functions.

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24

Semi-Log Plots

plots with logarithmic scaling on the y-axis and linear scaling on the x-axis.

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25

Linear Model for Semi-Log Plot

the equation for a linear model on a semi-log plot.

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