How do you find the exponential function f(x) = Ca^x whose points given are (-1,3) and (1,-4/3)?

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Answer 1 · 2016-02-22T23:58:40

Write a systems of equations to represent the problem.

C and a will be our variables.

#3 = C xx a^-1#

#-4/3 = C xx a^1#

#-4/(3a) = C#

#3 = -4/(3a) xx 1/a#

#3 = -4/(3a^2)#

#3(3a^2) = -4#

#9a^2 = -4#

#a^2 = -4/9#

#a = sqrt(-4/9)#

There is no real solution, so your points must be incorrect, as Gió remarked.