Use technology to find the exponential regression function t

Use technology to find the exponential regression function through the given points. (Round all coefficients to four decimal places.) HINT [See Example 6.]

{(?2, 10), (?4, 8), (?6, 4)}

f(x)=

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 decimal places when necessary.) HINT [See Example 2.]

Through (2, 45) and (4, 405)

f(x) =

Solution

The exponential model is y=ab^x

points are(2,45) and (4,405)

Therefore equations are

45=ab^2    and 405=ab^4

dividing second equation by first equation we get

9=b^2

b=+-3

45=a*3^2 and 45=a*-3^2

a=5      and    a=5

Therefore the equation is

y=5*3^x     and y=5*(-3)^x