Question

Which table represents an exponential function of the form y = b^k when 0 < b < 1?

Answer 1

Answer:

Answer is B

Step-by-step explanation:

Just got it right

Answer 2

Answer:

Table 2 is the right representation of exponential functio.

Step-by-step explanation:

We are given the following information in the question:

$y = b^k,\\0$

If we look at table 2, then, the exponential function is of the form:

$y(x) = \bigg(\displaystyle\frac{1}{3}\bigg)^x$

Putting different values of x, we have:

$x = -3\\\\y(-3) = \bigg(\displaystyle\frac{1}{3}\bigg)^{-3} = 27\\\\x = -2\\\\y(-2) = \bigg(\displaystyle\frac{1}{3}\bigg)^{-3} = 9\\\\x = -1\\\\y(-1) = \bigg(\displaystyle\frac{1}{3}\bigg)^{-1} = 3\\\\x = -0\\\\y(0) = \bigg(\displaystyle\frac{1}{3}\bigg)^{0} = 1\\\\x = 1\\\\y(1) = \bigg(\displaystyle\frac{1}{3}\bigg)^{1} = \frac{1}{3}\\\\x = 2\\\\y(2) = \bigg(\displaystyle\frac{1}{3}\bigg)^{2} = \frac{1}{9}\\\\x = 3\\\\y(3) = \bigg(\displaystyle\frac{1}{3}\bigg)^{3} = \frac{1}{27}$