Use technology to find the exponential regression function through the given poi

Question

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) =

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) =

Explanation / Answer

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

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