Find the formula for an exponential function that passes through the two points given. (x, y) = (0,6) and (x, y) = (3, 384) f(x) = 0.54 . To determine the exponential function that passes through two given points, find the values of a and b in the exponential function f(x) = aby. Substitute (X1, Y1) and (x2, y2) into the equation y = aby and solve the resulting system of equations for a and b. When the initial value point (0, y1) is given, is it a or b that can be identified immediately? Additional Materials eBook Learn by Example Example Video
Answer
Oy) = (0,5) (4/4)= (2,384) f(x) =Y= abt azo y=6 - 6= abo » fa=6 / Y=ffe) = 66 .. when @6) is substituted " e i ť identified immediately when x=3 y=384 384-653 » 63, 384764 b=3564 24 and the function is a=6 b=4 Yef =(6)(4)=3)21+ 1f)-(3) 22x+]] 64 €