Find C and a so that f(x)=Ca^x satisfies the given equations

Question

f(-2)=25/2

f(2)=1/50

Answer 1

y=Ca^x

(-2,25/2)

a) 25/2=Ca^-2

(2,1/50)

b) 1/50 = Ca²

From a)

25/2=C/a²

C=25a²/2

Substitute into b)

1/50 = (25a²/2)(a²)

a⁴=(1/50)(2/25)=1/625

a = 1/5 (do not use -1/5 as base of exponential function)

C = (25(1/25))/2 = 1/2

There are other ways to solve for C and a.

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