Question

Problem 2. (1 point) For each of the following, find the formula for an exponential function that passes through the points given. a. $(-1, \frac{2}{3})$ and $(4, 162)$ f(x) = b. $(-1, 8)$ and $(3, 1)$ g(x) = (If needed, round to 3 decimal places.) Note: You can earn partial credit on this problem.

          Problem 2. (1 point)
For each of the following, find the formula for an exponential function that passes through the
points given.
a. \((-1, \frac{2}{3})\) and \((4, 162)\)
f(x) = 

b. \((-1, 8)\) and \((3, 1)\)
g(x) = 
(If needed, round to 3 decimal places.)
Note: You can earn partial credit on this problem.

Problem 2. (1 point)
For each of the following, find the formula for an exponential function that passes through the
points given.
a. (-1, (2)/(3)) and (4, 162)
f(x) =

b. (-1, 8) and (3, 1)
g(x) =
(If needed, round to 3 decimal places.)
Note: You can earn partial credit on this problem.

Added by Karen A.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Atul Kumar

11/09/2022

Step 1

Since the points ($-1, \frac{2}{3}$) and (4, 162) are on the graph of $f(x)$, we have: $ab^{-1} = \frac{2}{3}$ (1) $ab^4 = 162$ (2) Dividing equation (2) by equation (1), we get: $\frac{ab^4}{ab^{-1}} = \frac{162}{\frac{2}{3}}$ $b^5 = 162 \times \frac{3}{2} = 81 Show more…

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Problem 2. (1 point) For each of the following, find the formula for an exponential function that passes through the points given. a. ($-1, \frac{2}{3}$) and (4, 162) $f(x) = \square$ b. (-1, 8) and (3, 1) $g(x) = \square$ (If needed, round to 3 decimal places.) Note: You can earn partial credit on this problem.