exponential functions

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14 Terms

1
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graphing characteristic if: b>1

growth, increasing

2
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graphing characteristic if: 0<b<1

decay, decreasing

3
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graphing characteristic if: a>0

concave up

4
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graphing characteristic if: a<0

neither growth or decay, concave down

5
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graphing characteristic if: b=1

neither growth or decay

6
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transformations in exponent: ^x+1

left 1

7
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transformations in exponent: ^x-1

right 1

8
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write 1/9 as with a base of 3

3^-2

9
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how to find HA from exponential equation

  • vertical translation: y=c

  • no vertical translation: y=0


10
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regular exponential growth/decay equation

y=a(1+r)^x

11
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half life equation

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

12
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double time growth equation

y=a(2)^x/k

13
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compound interest (w/ set time) equation

y=a(1+r/n)^nx

14
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compound interest continuously equation

y=Pe^rt