Question

graph this function.
y = 0.2^x
plot two points to graph the function.

Explanation:

Step1: Choose x=0, solve for y

Substitute $x=0$ into $y=0.2^x$:
$y=0.2^0=1$
Point: $(0, 1)$

Step2: Choose x=1, solve for y

Substitute $x=1$ into $y=0.2^x$:
$y=0.2^1=0.2$
Point: $(1, 0.2)$

Step3: Choose x=-1, solve for y (optional, for clarity)

Substitute $x=-1$ into $y=0.2^x$:
$y=0.2^{-1}=\frac{1}{0.2}=5$
Point: $(-1, 5)$

Answer:

Plot the points $(0, 1)$ and $(-1, 5)$ (or $(1, 0.2)$) and draw a smooth decreasing curve that approaches the x-axis as $x\to\infty$ and increases rapidly as $x\to-\infty$.
Key plotted points:

1. $(0, 1)$
2. $(-1, 5)$