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10 cards from this deck
y=a⋅bxy = a \cdot b^xy=a⋅bx where aaa is initial value, bbb is base.
It represents exponential growth.
It represents exponential decay.
All real numbers, x∈Rx \in \mathbb{R}x∈R.
Typically y=0y = 0y=0, the xxx-axis.
The base eee, approximately 2.7182.7182.718.
y=a⋅bx+cy = a \cdot b^x + cy=a⋅bx+c shifts the graph vertically by ccc.
y=y0⋅ekty = y_0 \cdot e^{kt}y=y0⋅ekt is the exponential growth formula.
y=y0⋅e−kty = y_0 \cdot e^{-kt}y=y0⋅e−kt where k>0k > 0k>0.
Population growth, radioactive decay, finance.
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