Homework Sourse1 Write an exponential function y abx for a graph that pass
1.) Write an exponential function y = abx for a graph that passes through (2, 1) and (3, 12).
2.)Find the formula for an exponential function that passes through the two points given.
(x, y) = (0, 7) and (x, y) = (3, 189)
f(x) = ?
3.) The graph of an exponential function of the form f(x) = abx passes through (1, 2) and (2, 1).
Find f(2).
f(2) = ?
Solution
y= abx
points are (2,1) and (3,12)
From these two points we get
1= ab 2 and 12=a b3
From these two equations we get
b=12 and a= 1/144
therefore required exponential equation is
y=(1/144)(12)x
