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QUESTION IMAGE

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

Question

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

Explanation:

Step1: Choose x=0, solve for y

$y = 0.5^0 = 1$
Point: $(0, 1)$

Step2: Choose x=1, solve for y

$y = 0.5^1 = 0.5$
Point: $(1, 0.5)$

Step3: Choose x=-1, solve for y

$y = 0.5^{-1} = \frac{1}{0.5} = 2$
Point: $(-1, 2)$

Answer:

Plot the points $(0, 1)$ and $(1, 0.5)$ (or $(-1, 2)$) on the grid, then draw a smooth decreasing curve that approaches the x-axis (y=0) as $x$ increases, and rises to infinity as $x$ decreases. Key plotted points: $(0, 1)$ and $(1, 0.5)$