Question 1153045


determine the exponential equation, {{{f(x)=a*b^x}}}, for each of the following graphs

4.

points on the graph: ({{{0}}},{{{3}}}),({{{1}}},{{{6}}}),({{{2}}},{{{12}}})

{{{f(x)=a*b^x}}}.........use one point
{{{3=a*b^0}}}
{{{3=a*1}}}
{{{a=3}}}

use another point

{{{6=3*b^1}}}
{{{b=2}}}

your equation is:

{{{f(x)=3*2^x}}}


5.

points on the graph: ({{{0}}},{{{2}}}),({{{1}}},{{{6}}}),({{{2}}},{{{32}}})

{{{2=a*b^0}}}
{{{2=a*1}}}
{{{a=2}}}

use another point

{{{6=2*b^1}}}
{{{b=3}}}

your equation is:

{{{f(x)=3*3^x}}}


6.
points on graph: (0,27),(1,9),(2,3)

{{{f(x)=a*b^x}}}.........use one point

{{{27=a*b^0}}}
{{{27=a*1}}}
{{{a=27}}}

use another point

{{{9=27*b^1}}}
{{{b=9/27}}}
{{{b=1/3}}}

your equation is:

{{{f(x)=27*(1/3)^x}}}