Find the exponential function f(x)=ca^x given two points (1,6) (3,24)

Question

Find the exponential function f(x)=ca^x given two points (1,6) (3,24)

in progress 0
2022-04-08T13:36:04+00:00 1 Answer 0

Answers ( 1 )

  1. Eliza
    0
    2022-04-08T13:37:17+00:00

    [tex]f(x)=ca^xto y=ca^x(1; 6)to x=1; y=6(3; 24)to x=3; y=24text{substitute the values of x and y to the equation:}[/tex]

    [tex]left{begin{array}{ccc}6=ca^1&to c=dfrac{6}{a}24=ca^3end{array}rightsubstitute24=dfrac{6}{a}cdot a^324=6a^2 |:6a^2=4to a=sqrt4to a=2substitutec=dfrac{6}{2}=3[/tex]

    [tex]Answer: boxed{f(x)=3cdot2^x}[/tex]

Leave an answer

Browse
Browse

45:5+15*4 = ? ( )