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14 cards from this deck
f(x)=a×bxf(x) = a \times b^xf(x)=a×bx
Initial value (value when x=0x = 0x=0)
Base
b>1b > 1b>1
0<b<10 < b < 10<b<1
All real numbers (x∈Rx \in \mathbb{R}x∈R)
Positive real numbers (f(x)>0f(x) > 0f(x)>0)
xxx-axis or y=0y = 0y=0
(0,a)(0, a)(0,a)
∫ex dx=ex+C\int e^x \, dx = e^x + C∫exdx=ex+C
aln(b)×bx+C\frac{a}{\ln(b)} \times b^x + Cln(b)a×bx+C where b>0b > 0b>0, b≠1b \neq 1b=1
Population growth, radioactive decay, compound interest
Curves upwards
Curves downwards
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