Question

graph this function.
$y = 8(0.5)^x$
plot two points to graph the function.

Explanation:

Step1: Find y at x=0

Substitute $x=0$ into the function.
$y = 8(0.5)^0 = 8 \times 1 = 8$
Point: $(0, 8)$

Step2: Find y at x=1

Substitute $x=1$ into the function.
$y = 8(0.5)^1 = 8 \times 0.5 = 4$
Point: $(1, 4)$

Step3: Find y at x=2 (optional check)

Substitute $x=2$ into the function.
$y = 8(0.5)^2 = 8 \times 0.25 = 2$
Point: $(2, 2)$

Answer:

Plot the points $(0, 8)$ and $(1, 4)$ (or other valid pairs like $(2, 2)$) on the grid, then draw a smooth decreasing curve through them that approaches the x-axis as $x$ increases and rises as $x$ decreases. The key plotted points are $\boldsymbol{(0, 8)}$ and $\boldsymbol{(1, 4)}$.