How do you write an exponential function whose graph passes through (0,-5) and (-3, -135)?

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Answer 1 · 2016-10-25T00:30:11

Please see the explanation

The general form is:

#y(x) = Ce^(alphax)#

y(0) = C = -5

#y(x) = -5e^(alpha3) = -135#

#27 = e^(3alpha)#

#ln(27) = 3alpha#

#ln(3^3) = 3alpha#

#3ln(3) = 3alpha#

#alpha = ln(3)#

#y = -5e^(ln(3)x)#