Question

The function f is defined by the following rule. Find f(x) for each x-value in the table.

Answer 1

Answer:

x     y

-2    36

-1     6

0      1

1       1/6

2       1/36

Step-by-step explanation:

Given

$f(x) = (\frac{1}{6})^x$

Required

Complete the table

When x = -2.

Substitute -2 for

$f(-2) = (\frac{1}{6})^{-2$

$f(-2) = 1/\frac{1}{36}$

$f(-2) = 36$

When x = -1

$f(-1) = (\frac{1}{6})^{-1$

$f(-1) = 1/\frac{1}{6}$

$f(-1) = 6$

When x = 0

$f(0) = \frac{1}{6}^0$

$f(0) = 1$

When x = 1

$f(1) = \frac{1}{6}^1$

$f(1) = \frac{1}{6}$

When x = 2

$f(2) = \frac{1}{6}^2$

$f(2) = \frac{1}{36}$