Find a formula for the exponential function passing through the points (-1,35) and (3,375), y=

Answer 1

here standard formula for exponential function is :

y= a(b)^x

35 = a(b)^-1 (for (-1,35))

=> 35=a/b --------(1)

375 = a(b)³ (for (3,375))

=>375 = (35b)(b³)

b= ±1.81

if b= 1.81

a=63.35

y=63.35(1.81)^x ---------- (1)

if b= -1.81

a=-63.65

y=-63.65(-1.81)^x------------(2)

However! In an exponential function, b>0, otherwise many issues arise when trying to graph the function.

so answer will be

y=63.65(1.81)^x ans