Question

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Answer 1

Answer:

Domain: set of all real numbers; (-∞, ∞)

Range : {y | y f > 2}

Check the attached figure to visualize the graph.

Step-by-step explanation:

The graph of the given function is attached. Please check the attached figure.

As the function is given as:

                                              $f(x) = (\frac{1}{3})^{x} +2$

As the table of some of the values of x and y values for $f(x) = (\frac{1}{3})^{x} +2$ is given as follows:

             x                  y

               -2                    11

                -1                    5

                 0                   3

                 1                   2.33

                  2                  2.111

Hence, it is clear that the function is defined for every input value of x. So, domain is the set of all real numbers.

Domain: set of all real numbers; (-∞, ∞)

If we carefully analyze the graph of this function, it is clear that no matter what input value of x we put, range or y-value of this function would always be be greater than 2. Check the attached graph figure to better visualize the range of the function.

Range can also be denoted as: Range : {y | y f > 2}

Keywords: graph, function, domain and range

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