Find the exponential function f ( x ) = a^ x that passes through the point ( − 2 , 1/ 49 ) and has a y-intercept of 1.

Answer 1

f(x) = a^x

f(-2) = a^-2 = 1/a² = 1/49

a² = 49

a = ±7 Choose 7

f(x) = 7^x f(0) = 7⁰ = 1