Pure · Exponentials & logarithms
Chapter 1 · 3
The idea
Exponential functions and e
Functions with the variable in the power, y = a^x — their graph shape, the asymptote and intercept — and the special exponential e^x whose gradient equals itself.
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Pure · Exponentials & logarithms
Exponential functions and e
Functions with the variable in the power, y = a^x — their graph shape, the asymptote and intercept — and the special exponential e^x whose gradient equals itself.
Why it works
The variable in the power
and look like cousins — the same two symbols, swapped. But one is a polynomial, and the other eventually outgrows every polynomial ever written: by , has reached while has passed a billion. An exponential function has the variable in the exponent: with a fixed base . That is the opposite of a power function , where the variable is in the base — and the difference completely changes the shape.Keep reading — free
The rest of the explanation, plus 3 worked examples you step through move by move.
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