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7 Cards in this Set
- Front
- Back
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Parent Graph of Exponential Functions |
F (x) = b^x and b > 1 |
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Domain of Exponential Functions |
Always all real numbers. |
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Asymptote |
The Y value that f (x) approaches but never meets. |
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f (x) = ab^x-h +k |
h= units left (negative) or right (positive) k= units up (positive) or down (negative) When a < 0, the function is reflected over the x-axis. |
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Solving Exponential Equations |
4^2n-1 = 64 4^2n-1 = (4)^3 4^2 (2)-1 = (4)^3 4^4-1 = (4)^3 4^3 = (4)^3 64 = 64 X = 2 |
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Write An Exponential Function |
A man starts an experiment with 7500 bacteria cells. After 4 hours, there are 23,000 cells. 7500= initial amount X= time (hours) F (x) = 7500(%)^x When x=0, y=7500 When x=4, y=23000 F (x) = 7500[4th root of (23000÷7500)]^x F (x) = 7500(3.066...)^x÷4 |
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Exponential Growth and Decay |
Growth = add 1 to the rate of growth Decay = subtract rate of decay from 1 |
