Question

Graph the following equation y=3(0.5)^X

Answer 1

Answer:

The required graph is shown below:

Step-by-step explanation:

Consider the provided equation.

$y=3(0.5)^x$

The graph of the function is a exponential graph.

Substitute x=-2 in $y=3(0.5)^x$

$y=3(0.5)^{-2}$

$y=\frac{3}{0.25}$

$y=12$

Substitute x=-1 in $y=3(0.5)^x$

$y=3(0.5)^{-1}$

$y=\frac{3}{0.5}$

$y=6$

Substitute x=0 in $y=3(0.5)^x$

$y=3(0.5)^0$

$y=3$

Substitute x=1 in $y=3(0.5)^x$

$y=3(0.5)^1$

$y=1.5$

Substitute x=2 in $y=3(0.5)^x$

$y=3(0.5)^2$

$y=0.75$

Now draw the table as shown.

x   -2   -1    0   1        2

y   12   6    3   1.5  0.75

With the help of the table draw the graph.

The required graph is shown below:

Answer 2

Answer:

veiw the screenshot

Step-by-step explanation: