Question

Sketch the graph of the given function. The state the functions domain and range

f(x)=-2{1/4}^x​

Answer 1

Domain: -∞ < x < ∞

Range: f(x) < 0

Explanation:

`f(x)=-2((1)/(4))^x`

We need to sketch the graph and identify domain and range of the function f(x).

The graph is attached in the figure below.

Domain:

The domain of the function is all the values of x that gives the real values for f(x).

So, in our case all values of x gives real values for f(x). So domain is:

-∞ < x < ∞

Range:

The range of the function is the resulting f(x) values when we put all the values of x.

In our case the value of f(x) will always be less than zero because of the negative sign.

Range is:

f(x) < 0