Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range with inequality notation, interval notation, or set-builder notation. Explain your reasoning.

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MrRoyal MrRoyal · Answer 1 · 2022-04-26T14:26:07+02:00

The function represented by the table is a logarithmic function

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

From the question, we understand that the function is a logarithmic function

A logarithmic function is represented as:

[tex]y = \log_b(x)[/tex]

The base of the given function is base 5.

So, we have:

[tex]y = \log_5(x)[/tex]

From the table, the logarithmic function only take positive x values.

So, the domain of the function is x > 0

In (a), we have the function to be

[tex]y = \log_5(x)[/tex]

From the table, the logarithmic function outputs all zero, positive and negative numbers

So, the range of the function is -∞ < f(x) < ∞

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