Chapter 0.3, Problem 14E

To determine

To Match: The given function with its given graph.

Answer to Problem 14E

The graph of the function $y=3^{-x}$ is option $\left(d\right)$ .

Explanation of Solution

Given:

  $y=3^{-x}$

Options:

(a)

(b)

(c)

(d)

(e)

(f)

Calculation:

Find the graph of $y=3^{-x}$

Substitute value to $x$ and find $y$ value:

  $\begin{array}{l}y=3^{-0}\Rightarrow 1\\ y=3^{-1}\Rightarrow \frac{1}{3}\\ y=3^{-2}\Rightarrow \frac{1}{9}\\ y=3^{-3}\Rightarrow \frac{1}{27}\end{array}$

Thus, the only possible graph for the function $y=3^{-x}$ is option $\left(d\right)$ .