Question

Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

f(x) = (1/5)^x = 5^-x

Answer 1

The red curve is the graph for given function.

Explanation:

We are given the following function in the question:

`f(x) = ((1)/(5))^x = 5^(-x)`

We have to graph this function.

Properties of function:

• The given function is an exponential function of the form
  `f(x) = b^x`, where b is the base and x can be any real number.
• Here,
  `b = (1)/(5)`
• It passes through the point (0,1).
• Since
  `0 < b < 1`, 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
  `(0,\infty)`

The attached image shows the graph for the given function.