Unit 4: Exponential Functions Flashcards

1
Q

Arithmetic sequences behave like…

A

linear functions.

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2
Q

Geometric sequences behave like…

A

exponential functions.

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3
Q

Arithmetic sequences have a common…

A

difference.

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4
Q

Geometric sequences have a common…

A

ratio.

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5
Q

Arthimetic formula

without knowing the common difference

A
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6
Q

Arthimetic formula

with knowing common difference

A
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7
Q

Geometric formula

without knowing the common ratio

A
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8
Q

Geometric formula

with knowing the common ratio

A
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9
Q

Exponential function

general form

A
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10
Q

Exponential Growth

A
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11
Q

Exponential Growth

A
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12
Q

Exponential Decay

A
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13
Q

Exponential Decay

A
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14
Q

Product Property

A
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15
Q

Power Property

A
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16
Q

Negative Exponent Property

A
17
Q

Every horizontal translation of an exponential function is equivalent to…

A

a vertical dilation of the exponential function

18
Q

Calculator Steps for finding a model for a list of data…

A
  1. Stat, 1:Edit, enter data
  2. Stat, Calc, choose regression model
  3. Store RegEq: Vars, Y-VARS, 1:Function, 1:Y1
  4. Calculate
19
Q

How do you undo an exponent?

Bring the exponent out of the powers?

A

Take the natural log of both sides of the equation.

20
Q

Residual

A

Actual output value - Predicted output value

21
Q

Residual Plots

A

If the residual plot shows no clear pattern, then the model that was used IS APPROPRIATE.