Answer:
Plot the points (-1, 4) and (0, 1).
See the attachment for the graphed function.
Step-by-step explanation:
Given exponential function:
[tex]y=\left(\dfrac{1}{4}\right)^x[/tex]
To draw the graph of the given function, we need to find two points on the curve. To do this, substitute two values of x into the function and solve for the corresponding y-coordinates.
Substitute x = -1 into the function:
[tex]y=\left(\dfrac{1}{4}\right)^{-1}=4[/tex]
Therefore, one point on the graph is (-1, 4).
Now, substitute x = 0 into the function:
[tex]y=\left(\dfrac{1}{4}\right)^{0}=1[/tex]
Therefore, a second point on the graph is (0, 1).
Plot the points (-1, 4) and (0, 1) on the given coordinate plane, then click on the "draw graph" button to draw the graph.
