Chapter 4.3, Problem 4P

Each set of ordered pairs represents a function. Write a rule that represents the function.

(0,1),(1,3),(2,9),(3,27),(4,81)

To determine

To write: A rule that represents a function satisfying the ordered pairs

Answer to Problem 4P

  $y=3^x$

Explanation of Solution

Given:

(0, 1,), (1, 3), (2, 9), (3, 27), (4, 81)

In the given ordered pairs we can see that the values of y are {1, 3, 9, 27, 81} i.e., $\{3^0,3^1,3^2,3^3,3^4\}$ . Also, the powers of 3 are {0, 1, 2, 3, 4} which are the values of x in the given ordered pairs.

Hence, the function can be expressed as $y=3^x$