Question

which is the graph of f(x)=4(1/2)^x

Answer 1

Answer:  The sketching method of the given graph is shown in the below explanation.

Step-by-step explanation:

Given function, $f(x) = 4(1/2)^x$  -------(1)

Since it is an exponential function.( because it is the type of $y = a.b^x$)

here, the horizontal asymptote, y=0

And, it having x intercept (0,4)

But it does not have any y- intercept.

Also, it is a decreasing function because here b<1.

Now, we can draw it with help of putting some values of x in equation (1)

For x= 1, y= 2 and x=2, y=1

for x=-1, y=8  and, x=-2, y= 16

Thus points are (1,2), (2,1), (-1,8) and (-2,16).