Question 880493
Write an exponential function whose graph passes through each pair of points for: (1,5)(2,7)
Using the exponential function: f(x) = a^x, 
Find a relationship
{{{a^1/a^2}}} = {{{5/7}}}
Cancel a
{{{1/a}}} = {{{5/7}}}
5a = 7
a = 7/5
a = 1.4
Find what exponent of 1.4 will give you 5
1.4^x = 5
x = {{{ln(5)/ln(1.4)}}}
x = 4.78327
:
Write an equation from this
 {{{f(x) = 1.4^((x+3.78327))}}}
using a calc
when x=1; f(x) = 5
when x=2, f(x) = 7
:
{{{ graph( 300, 200, -2, 5, -5, 10, 1.4^(x+3.78327)) }}}