Question

complete the table for the function $y = 5^x$.

$x$	$y$
$0$	$square$
$1$	$square$
$2$	$square$

now, graph the function.
plot two points to graph the function.
graph with x-axis from -8 to 8 and y-axis from -6 to 8, grid lines, and origin at (0,0)

Explanation:

Step1: Calculate y when x=-1

Use negative exponent rule: $y=5^{-1}=\frac{1}{5}=0.2$

Step2: Calculate y when x=0

Use zero exponent rule: $y=5^{0}=1$

Step3: Calculate y when x=1

Substitute x=1: $y=5^{1}=5$

Step4: Calculate y when x=2

Substitute x=2: $y=5^{2}=25$

Step5: Identify points for graph

We can use the points $(0, 1)$ and $(1, 5)$ (or any two from the completed table) to plot the exponential function.

Answer:

Completed Table:

$x$	$y$
0	$1$
1	$5$
2	$25$

Graph Points:

Plot the points $(0, 1)$ and $(1, 5)$ on the coordinate grid, then draw a smooth increasing curve through them that approaches the x-axis as $x$ decreases to negative infinity.