Graph the exponential function. f(x)=((5)/(4))^x Plot five points on the graph of the function. Then click on the graph-a-function button.

To graph the exponential function $f(x)=(\frac {5}{4})^{x}$, we can follow these steps:<br /><br />Step 1: Identify the base of the exponential function.<br />In this case, the base is $\frac{5}{4}$.<br /><br />Step 2: Determine the behavior of the function.<br />Since the base $\frac{5}{4}$ is greater than 1, the function will be increasing.<br /><br />Step 3: Plot points on the graph.<br />We can choose a few values of x and calculate the corresponding values of f(x) to plot points on the graph.<br /><br />For example, let's choose x = -2, -1, 0, 1, and 2.<br /><br />When x = -2, f(x) = $(\frac{5}{4})^{-2} = \frac{16}{25}$<br />When x = -1, f(x) = $(\frac{5}{4})^{-1} = \frac{4}{5}$<br />When x = 0, f(x) = $(\frac{5}{4})^{0} = 1$<br />When x = 1, f(x) = $(\frac{5}{4})^{1} = \frac{5}{4}$<br />When x = 2, f(x) = $(\frac{5}{4})^{2} = \frac{25}{16}$<br /><br />Step 4: Connect the points.<br />Now that we have plotted the points, we can connect them to form the graph of the exponential function.<br /><br />The graph of the function $f(x)=(\frac {5}{4})^{x}$ will show an increasing curve that passes through the points we calculated.<br /><br />Answer: The graph of the exponential function $f(x)=(\frac {5}{4})^{x}$ is an increasing curve that passes through the points (-2, $\frac{16}{25}$), (-1, $\frac{4}{5}$), (0, 1), (1, $\frac{5}{4}$), and (2, $\frac{25}{16}$).