Answer:
The red curve is the graph for given function.
Step-by-step explanation:
We are given the following function in the question:
[tex]f(x) = (\dfrac{1}{4})^x = 4^{-x}[/tex]
We have to graph this function.
Properties of function:
- The given function is an exponential function of the form [tex]f(x) = b^x[/tex], where b is the base and x can be any real number.
- Here, [tex]b = \dfrac{1}{4}[/tex]
- It passes through the point (0,1).
- Since [tex]0 < b < 1[/tex], the graph of function will decrease as we move from left to right.
- The domain for given function is all real numbers.
- The range for the given function is [tex](0,\infty)[/tex]
The attached image shows the graph for the given function.
