Question

complete the table for the function $y = 3^x$.

now, graph the function.
plot two points to graph the function.

Explanation:

Step1: Calculate y for x=-1

$y=3^{-1}=\frac{1}{3}$

Step2: Calculate y for x=0

$y=3^{0}=1$

Step3: Calculate y for x=1

$y=3^{1}=3$

Step4: Calculate y for x=2

$y=3^{2}=9$

Step5: Identify plot points

Use $(0,1)$ and $(1,3)$ (or any two from the table) to plot the exponential curve, which increases from the right of the x-axis (approaching 0 as $x\to-\infty$) and rises steeply as x increases.

Answer:

Completed table:

x	y
0	1
1	3
2	9

For the graph: Plot the points $(0,1)$ and $(1,3)$ on the coordinate grid, then draw a smooth increasing curve that approaches the x-axis (but never touches it) as x moves left, and rises rapidly as x moves right.