Review of Exponential Functions Base e (HSC SSCE Mathematics Advanced): Flashcards

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Review of Exponential Functions Base e
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Approximate value of ee

2.7183

Derivative of exe^x

exe^x

Fundamental property of y=exy = e^x (gradient vs height)

Gradient equals height at every point

Y-intercept of y=exy = e^x

(0,1)(0, 1)

Horizontal asymptote of y=exy = e^x

y=0y = 0

Range of y=exy = e^x

y>0y > 0

Inverse function of exe^x

log⁡ex\log_e x or ln⁡x\ln x

y=e−xy = e^{-x} represents what transformation of y=exy = e^x?

Reflection in the y-axis (exponential decay)

Asymptote of y=ex+ky = e^x + k

y=ky = k

Simplify: log⁡eex\log_e e^x

xx

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