Question

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

Answer 1

The answer is B to be precise

Explanation:

B

Answer 2

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

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).