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

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Review of Exponential Functions Base e
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What is the y-intercept of the function y=exy = e^x?

(0,1)(0, 1)

What is the range of the exponential function y=exy = e^x?

y>0y > 0

What is the horizontal asymptote of y=exy = e^x?

y=0y = 0

What is the derivative of y=exy = e^x?

exe^x

Which property defines ee as special among all exponential bases?

Gradient equals height

What is the horizontal asymptote of y=ex+5y = e^x + 5?

y=5y = 5

What transformation produces y=e−xy = e^{-x} from y=exy = e^x?

Reflection in y-axis

What is the y-intercept of y=4exy = 4e^x?

(0,4)(0, 4)

Which identity connects exe^x and its inverse log⁡ex\log_e x?

log⁡eex=x\log_e e^x = x

What type of transformation is y=e3xy = e^{3x} compared to y=exy = e^x?

Horizontal dilation factor 13\frac{1}{3}

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